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Finding the Third Proportional to 7,862.38 and 16,889.45

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Solution

The third proportional to 7,862.38 and 16,889.45 is: 36,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.38 : 16,889.45 = 16,889.45 : x
  2. Step 2: Convert to fraction form
    7,862.38/16,889.45 = 16,889.45/x
  3. Step 3: Cross multiply
    7,862.38x = 16,889.45 × 16,889.45
  4. Step 4: Simplify right side
    7,862.38x = 285,253,494.91
  5. Step 5: Solve for x
    x = 285,253,494.91/7,862.38
  6. Step 6: Final answer
    x = 36,280.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.