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Finding the Third Proportional to 8,001.91 and 11,527.03

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Solution

The third proportional to 8,001.91 and 11,527.03 is: 16,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.91 : 11,527.03 = 11,527.03 : x
  2. Step 2: Convert to fraction form
    8,001.91/11,527.03 = 11,527.03/x
  3. Step 3: Cross multiply
    8,001.91x = 11,527.03 × 11,527.03
  4. Step 4: Simplify right side
    8,001.91x = 132,872,449.44
  5. Step 5: Solve for x
    x = 132,872,449.44/8,001.91
  6. Step 6: Final answer
    x = 16,605.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.