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Finding the Third Proportional to 41,940 and 64,374

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Solution

The third proportional to 41,940 and 64,374 is: 98,808.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,940 : 64,374 = 64,374 : x
  2. Step 2: Convert to fraction form
    41,940/64,374 = 64,374/x
  3. Step 3: Cross multiply
    41,940x = 64,374 × 64,374
  4. Step 4: Simplify right side
    41,940x = 4,144,011,876
  5. Step 5: Solve for x
    x = 4,144,011,876/41,940
  6. Step 6: Final answer
    x = 98,808.10

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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.