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Finding the Third Proportional to 11,421.42 and 17,132.13

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Solution

The third proportional to 11,421.42 and 17,132.13 is: 25,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.42 : 17,132.13 = 17,132.13 : x
  2. Step 2: Convert to fraction form
    11,421.42/17,132.13 = 17,132.13/x
  3. Step 3: Cross multiply
    11,421.42x = 17,132.13 × 17,132.13
  4. Step 4: Simplify right side
    11,421.42x = 293,509,974.71
  5. Step 5: Solve for x
    x = 293,509,974.71/11,421.42
  6. Step 6: Final answer
    x = 25,698.20

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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.