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Finding the Third Proportional to 38,338.59 and 58,197.66

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Solution

The third proportional to 38,338.59 and 58,197.66 is: 88,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,338.59 : 58,197.66 = 58,197.66 : x
  2. Step 2: Convert to fraction form
    38,338.59/58,197.66 = 58,197.66/x
  3. Step 3: Cross multiply
    38,338.59x = 58,197.66 × 58,197.66
  4. Step 4: Simplify right side
    38,338.59x = 3,386,967,192.99
  5. Step 5: Solve for x
    x = 3,386,967,192.99/38,338.59
  6. Step 6: Final answer
    x = 88,343.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.