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Finding the Third Proportional to 11,104.59 and 16,987.22

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Solution

The third proportional to 11,104.59 and 16,987.22 is: 25,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,104.59 : 16,987.22 = 16,987.22 : x
  2. Step 2: Convert to fraction form
    11,104.59/16,987.22 = 16,987.22/x
  3. Step 3: Cross multiply
    11,104.59x = 16,987.22 × 16,987.22
  4. Step 4: Simplify right side
    11,104.59x = 288,565,600.86
  5. Step 5: Solve for x
    x = 288,565,600.86/11,104.59
  6. Step 6: Final answer
    x = 25,986.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.