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Finding the Third Proportional to 47,630 and 103,725

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Solution

The third proportional to 47,630 and 103,725 is: 225,884.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,630 : 103,725 = 103,725 : x
  2. Step 2: Convert to fraction form
    47,630/103,725 = 103,725/x
  3. Step 3: Cross multiply
    47,630x = 103,725 × 103,725
  4. Step 4: Simplify right side
    47,630x = 10,758,875,625
  5. Step 5: Solve for x
    x = 10,758,875,625/47,630
  6. Step 6: Final answer
    x = 225,884.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.