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Finding the Third Proportional to 47,502 and 68,463

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Solution

The third proportional to 47,502 and 68,463 is: 98,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,502 : 68,463 = 68,463 : x
  2. Step 2: Convert to fraction form
    47,502/68,463 = 68,463/x
  3. Step 3: Cross multiply
    47,502x = 68,463 × 68,463
  4. Step 4: Simplify right side
    47,502x = 4,687,182,369
  5. Step 5: Solve for x
    x = 4,687,182,369/47,502
  6. Step 6: Final answer
    x = 98,673.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.