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Finding the Third Proportional to 41,565 and 74,311

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Solution

The third proportional to 41,565 and 74,311 is: 132,855.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,565 : 74,311 = 74,311 : x
  2. Step 2: Convert to fraction form
    41,565/74,311 = 74,311/x
  3. Step 3: Cross multiply
    41,565x = 74,311 × 74,311
  4. Step 4: Simplify right side
    41,565x = 5,522,124,721
  5. Step 5: Solve for x
    x = 5,522,124,721/41,565
  6. Step 6: Final answer
    x = 132,855.16

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.