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Finding the Third Proportional to 9,209.32 and 14,132.92

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Solution

The third proportional to 9,209.32 and 14,132.92 is: 21,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.32 : 14,132.92 = 14,132.92 : x
  2. Step 2: Convert to fraction form
    9,209.32/14,132.92 = 14,132.92/x
  3. Step 3: Cross multiply
    9,209.32x = 14,132.92 × 14,132.92
  4. Step 4: Simplify right side
    9,209.32x = 199,739,370.31
  5. Step 5: Solve for x
    x = 199,739,370.31/9,209.32
  6. Step 6: Final answer
    x = 21,688.83

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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.