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Finding the Third Proportional to 5,926.92 and 12,882.80

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Solution

The third proportional to 5,926.92 and 12,882.80 is: 28,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.92 : 12,882.80 = 12,882.80 : x
  2. Step 2: Convert to fraction form
    5,926.92/12,882.80 = 12,882.80/x
  3. Step 3: Cross multiply
    5,926.92x = 12,882.80 × 12,882.80
  4. Step 4: Simplify right side
    5,926.92x = 165,966,455.32
  5. Step 5: Solve for x
    x = 165,966,455.32/5,926.92
  6. Step 6: Final answer
    x = 28,002.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.