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Finding the Third Proportional to 8,713.13 and 13,089.38

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Solution

The third proportional to 8,713.13 and 13,089.38 is: 19,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.13 : 13,089.38 = 13,089.38 : x
  2. Step 2: Convert to fraction form
    8,713.13/13,089.38 = 13,089.38/x
  3. Step 3: Cross multiply
    8,713.13x = 13,089.38 × 13,089.38
  4. Step 4: Simplify right side
    8,713.13x = 171,331,737.89
  5. Step 5: Solve for x
    x = 171,331,737.89/8,713.13
  6. Step 6: Final answer
    x = 19,663.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.