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Finding the Third Proportional to 44,720 and 71,896

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Solution

The third proportional to 44,720 and 71,896 is: 115,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,720 : 71,896 = 71,896 : x
  2. Step 2: Convert to fraction form
    44,720/71,896 = 71,896/x
  3. Step 3: Cross multiply
    44,720x = 71,896 × 71,896
  4. Step 4: Simplify right side
    44,720x = 5,169,034,816
  5. Step 5: Solve for x
    x = 5,169,034,816/44,720
  6. Step 6: Final answer
    x = 115,586.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.