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Finding the Third Proportional to 41,412 and 64,578

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Solution

The third proportional to 41,412 and 64,578 is: 100,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,412 : 64,578 = 64,578 : x
  2. Step 2: Convert to fraction form
    41,412/64,578 = 64,578/x
  3. Step 3: Cross multiply
    41,412x = 64,578 × 64,578
  4. Step 4: Simplify right side
    41,412x = 4,170,318,084
  5. Step 5: Solve for x
    x = 4,170,318,084/41,412
  6. Step 6: Final answer
    x = 100,703.13

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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.