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Finding the Third Proportional to 26,524.38 and 38,358.88

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Solution

The third proportional to 26,524.38 and 38,358.88 is: 55,473.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524.38 : 38,358.88 = 38,358.88 : x
  2. Step 2: Convert to fraction form
    26,524.38/38,358.88 = 38,358.88/x
  3. Step 3: Cross multiply
    26,524.38x = 38,358.88 × 38,358.88
  4. Step 4: Simplify right side
    26,524.38x = 1,471,403,291.27
  5. Step 5: Solve for x
    x = 1,471,403,291.27/26,524.38
  6. Step 6: Final answer
    x = 55,473.63

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.