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Finding the Third Proportional to 41,597 and 73,960

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Solution

The third proportional to 41,597 and 73,960 is: 131,501.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,597 : 73,960 = 73,960 : x
  2. Step 2: Convert to fraction form
    41,597/73,960 = 73,960/x
  3. Step 3: Cross multiply
    41,597x = 73,960 × 73,960
  4. Step 4: Simplify right side
    41,597x = 5,470,081,600
  5. Step 5: Solve for x
    x = 5,470,081,600/41,597
  6. Step 6: Final answer
    x = 131,501.83

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.