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Finding the Third Proportional to 45,565 and 60,651

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Solution

The third proportional to 45,565 and 60,651 is: 80,731.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,565 : 60,651 = 60,651 : x
  2. Step 2: Convert to fraction form
    45,565/60,651 = 60,651/x
  3. Step 3: Cross multiply
    45,565x = 60,651 × 60,651
  4. Step 4: Simplify right side
    45,565x = 3,678,543,801
  5. Step 5: Solve for x
    x = 3,678,543,801/45,565
  6. Step 6: Final answer
    x = 80,731.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.