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Finding the Third Proportional to 44,982 and 71,478

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Solution

The third proportional to 44,982 and 71,478 is: 113,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,982 : 71,478 = 71,478 : x
  2. Step 2: Convert to fraction form
    44,982/71,478 = 71,478/x
  3. Step 3: Cross multiply
    44,982x = 71,478 × 71,478
  4. Step 4: Simplify right side
    44,982x = 5,109,104,484
  5. Step 5: Solve for x
    x = 5,109,104,484/44,982
  6. Step 6: Final answer
    x = 113,581.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.