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Finding the Third Proportional to 47,730 and 71,562

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Solution

The third proportional to 47,730 and 71,562 is: 107,293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,730 : 71,562 = 71,562 : x
  2. Step 2: Convert to fraction form
    47,730/71,562 = 71,562/x
  3. Step 3: Cross multiply
    47,730x = 71,562 × 71,562
  4. Step 4: Simplify right side
    47,730x = 5,121,119,844
  5. Step 5: Solve for x
    x = 5,121,119,844/47,730
  6. Step 6: Final answer
    x = 107,293.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.