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Finding the Third Proportional to 11,421.40 and 17,132.11

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Solution

The third proportional to 11,421.40 and 17,132.11 is: 25,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.40 : 17,132.11 = 17,132.11 : x
  2. Step 2: Convert to fraction form
    11,421.40/17,132.11 = 17,132.11/x
  3. Step 3: Cross multiply
    11,421.40x = 17,132.11 × 17,132.11
  4. Step 4: Simplify right side
    11,421.40x = 293,509,171.64
  5. Step 5: Solve for x
    x = 293,509,171.64/11,421.40
  6. Step 6: Final answer
    x = 25,698.18

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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.