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Finding the Third Proportional to 11,331.59 and 15,929.20

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Solution

The third proportional to 11,331.59 and 15,929.20 is: 22,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.59 : 15,929.20 = 15,929.20 : x
  2. Step 2: Convert to fraction form
    11,331.59/15,929.20 = 15,929.20/x
  3. Step 3: Cross multiply
    11,331.59x = 15,929.20 × 15,929.20
  4. Step 4: Simplify right side
    11,331.59x = 253,739,512.20
  5. Step 5: Solve for x
    x = 253,739,512.20/11,331.59
  6. Step 6: Final answer
    x = 22,392.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.