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Finding the Third Proportional to 44,593 and 59,447

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Solution

The third proportional to 44,593 and 59,447 is: 79,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,593 : 59,447 = 59,447 : x
  2. Step 2: Convert to fraction form
    44,593/59,447 = 59,447/x
  3. Step 3: Cross multiply
    44,593x = 59,447 × 59,447
  4. Step 4: Simplify right side
    44,593x = 3,533,945,809
  5. Step 5: Solve for x
    x = 3,533,945,809/44,593
  6. Step 6: Final answer
    x = 79,248.89

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.