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Finding the Third Proportional to 40,802 and 57,463

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Solution

The third proportional to 40,802 and 57,463 is: 80,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,802 : 57,463 = 57,463 : x
  2. Step 2: Convert to fraction form
    40,802/57,463 = 57,463/x
  3. Step 3: Cross multiply
    40,802x = 57,463 × 57,463
  4. Step 4: Simplify right side
    40,802x = 3,301,996,369
  5. Step 5: Solve for x
    x = 3,301,996,369/40,802
  6. Step 6: Final answer
    x = 80,927.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.