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Finding the Third Proportional to 41,432 and 64,302

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Solution

The third proportional to 41,432 and 64,302 is: 99,795.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,432 : 64,302 = 64,302 : x
  2. Step 2: Convert to fraction form
    41,432/64,302 = 64,302/x
  3. Step 3: Cross multiply
    41,432x = 64,302 × 64,302
  4. Step 4: Simplify right side
    41,432x = 4,134,747,204
  5. Step 5: Solve for x
    x = 4,134,747,204/41,432
  6. Step 6: Final answer
    x = 99,795.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.