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Finding the Third Proportional to 47,702.25 and 70,088.63

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Solution

The third proportional to 47,702.25 and 70,088.63 is: 102,980.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,702.25 : 70,088.63 = 70,088.63 : x
  2. Step 2: Convert to fraction form
    47,702.25/70,088.63 = 70,088.63/x
  3. Step 3: Cross multiply
    47,702.25x = 70,088.63 × 70,088.63
  4. Step 4: Simplify right side
    47,702.25x = 4,912,415,354.39
  5. Step 5: Solve for x
    x = 4,912,415,354.39/47,702.25
  6. Step 6: Final answer
    x = 102,980.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.