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Finding the Third Proportional to 47,426 and 68,691

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Solution

The third proportional to 47,426 and 68,691 is: 99,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,426 : 68,691 = 68,691 : x
  2. Step 2: Convert to fraction form
    47,426/68,691 = 68,691/x
  3. Step 3: Cross multiply
    47,426x = 68,691 × 68,691
  4. Step 4: Simplify right side
    47,426x = 4,718,453,481
  5. Step 5: Solve for x
    x = 4,718,453,481/47,426
  6. Step 6: Final answer
    x = 99,490.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.