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Finding the Third Proportional to 44,538 and 68,487

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Solution

The third proportional to 44,538 and 68,487 is: 105,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,538 : 68,487 = 68,487 : x
  2. Step 2: Convert to fraction form
    44,538/68,487 = 68,487/x
  3. Step 3: Cross multiply
    44,538x = 68,487 × 68,487
  4. Step 4: Simplify right side
    44,538x = 4,690,469,169
  5. Step 5: Solve for x
    x = 4,690,469,169/44,538
  6. Step 6: Final answer
    x = 105,313.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.