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Finding the Third Proportional to 38,197.13 and 58,284.56

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Solution

The third proportional to 38,197.13 and 58,284.56 is: 88,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197.13 : 58,284.56 = 58,284.56 : x
  2. Step 2: Convert to fraction form
    38,197.13/58,284.56 = 58,284.56/x
  3. Step 3: Cross multiply
    38,197.13x = 58,284.56 × 58,284.56
  4. Step 4: Simplify right side
    38,197.13x = 3,397,090,225.82
  5. Step 5: Solve for x
    x = 3,397,090,225.82/38,197.13
  6. Step 6: Final answer
    x = 88,935.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.