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Finding the Third Proportional to 38,366 and 56,523

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Solution

The third proportional to 38,366 and 56,523 is: 83,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,366 : 56,523 = 56,523 : x
  2. Step 2: Convert to fraction form
    38,366/56,523 = 56,523/x
  3. Step 3: Cross multiply
    38,366x = 56,523 × 56,523
  4. Step 4: Simplify right side
    38,366x = 3,194,849,529
  5. Step 5: Solve for x
    x = 3,194,849,529/38,366
  6. Step 6: Final answer
    x = 83,272.94

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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.