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Finding the Third Proportional to 17,712 and 26,524

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Solution

The third proportional to 17,712 and 26,524 is: 39,720.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 26,524 = 26,524 : x
  2. Step 2: Convert to fraction form
    17,712/26,524 = 26,524/x
  3. Step 3: Cross multiply
    17,712x = 26,524 × 26,524
  4. Step 4: Simplify right side
    17,712x = 703,522,576
  5. Step 5: Solve for x
    x = 703,522,576/17,712
  6. Step 6: Final answer
    x = 39,720.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.