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Finding the Third Proportional to 44,762 and 68,439

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Solution

The third proportional to 44,762 and 68,439 is: 104,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,762 : 68,439 = 68,439 : x
  2. Step 2: Convert to fraction form
    44,762/68,439 = 68,439/x
  3. Step 3: Cross multiply
    44,762x = 68,439 × 68,439
  4. Step 4: Simplify right side
    44,762x = 4,683,896,721
  5. Step 5: Solve for x
    x = 4,683,896,721/44,762
  6. Step 6: Final answer
    x = 104,640.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.