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Finding the Third Proportional to 47,048.63 and 103,574.25

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Solution

The third proportional to 47,048.63 and 103,574.25 is: 228,011.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,048.63 : 103,574.25 = 103,574.25 : x
  2. Step 2: Convert to fraction form
    47,048.63/103,574.25 = 103,574.25/x
  3. Step 3: Cross multiply
    47,048.63x = 103,574.25 × 103,574.25
  4. Step 4: Simplify right side
    47,048.63x = 10,727,625,263.06
  5. Step 5: Solve for x
    x = 10,727,625,263.06/47,048.63
  6. Step 6: Final answer
    x = 228,011.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.