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Finding the Third Proportional to 15,744 and 32,411

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Solution

The third proportional to 15,744 and 32,411 is: 66,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 32,411 = 32,411 : x
  2. Step 2: Convert to fraction form
    15,744/32,411 = 32,411/x
  3. Step 3: Cross multiply
    15,744x = 32,411 × 32,411
  4. Step 4: Simplify right side
    15,744x = 1,050,472,921
  5. Step 5: Solve for x
    x = 1,050,472,921/15,744
  6. Step 6: Final answer
    x = 66,722.11

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.