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Finding the Third Proportional to 41,414 and 64,581

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Solution

The third proportional to 41,414 and 64,581 is: 100,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,414 : 64,581 = 64,581 : x
  2. Step 2: Convert to fraction form
    41,414/64,581 = 64,581/x
  3. Step 3: Cross multiply
    41,414x = 64,581 × 64,581
  4. Step 4: Simplify right side
    41,414x = 4,170,705,561
  5. Step 5: Solve for x
    x = 4,170,705,561/41,414
  6. Step 6: Final answer
    x = 100,707.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.