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Finding the Third Proportional to 11,421.38 and 17,132.06

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Solution

The third proportional to 11,421.38 and 17,132.06 is: 25,698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.38 : 17,132.06 = 17,132.06 : x
  2. Step 2: Convert to fraction form
    11,421.38/17,132.06 = 17,132.06/x
  3. Step 3: Cross multiply
    11,421.38x = 17,132.06 × 17,132.06
  4. Step 4: Simplify right side
    11,421.38x = 293,507,565.50
  5. Step 5: Solve for x
    x = 293,507,565.50/11,421.38
  6. Step 6: Final answer
    x = 25,698.09

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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.