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Finding the Third Proportional to 6,221.60 and 13,432.92

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Solution

The third proportional to 6,221.60 and 13,432.92 is: 29,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.60 : 13,432.92 = 13,432.92 : x
  2. Step 2: Convert to fraction form
    6,221.60/13,432.92 = 13,432.92/x
  3. Step 3: Cross multiply
    6,221.60x = 13,432.92 × 13,432.92
  4. Step 4: Simplify right side
    6,221.60x = 180,443,390.10
  5. Step 5: Solve for x
    x = 180,443,390.10/6,221.60
  6. Step 6: Final answer
    x = 29,002.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.