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Finding the Third Proportional to 8,400.38 and 12,556.13

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Solution

The third proportional to 8,400.38 and 12,556.13 is: 18,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.38 : 12,556.13 = 12,556.13 : x
  2. Step 2: Convert to fraction form
    8,400.38/12,556.13 = 12,556.13/x
  3. Step 3: Cross multiply
    8,400.38x = 12,556.13 × 12,556.13
  4. Step 4: Simplify right side
    8,400.38x = 157,656,275.02
  5. Step 5: Solve for x
    x = 157,656,275.02/8,400.38
  6. Step 6: Final answer
    x = 18,767.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.