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Finding the Third Proportional to 36,244.13 and 54,867.38

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Solution

The third proportional to 36,244.13 and 54,867.38 is: 83,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,244.13 : 54,867.38 = 54,867.38 : x
  2. Step 2: Convert to fraction form
    36,244.13/54,867.38 = 54,867.38/x
  3. Step 3: Cross multiply
    36,244.13x = 54,867.38 × 54,867.38
  4. Step 4: Simplify right side
    36,244.13x = 3,010,428,839.39
  5. Step 5: Solve for x
    x = 3,010,428,839.39/36,244.13
  6. Step 6: Final answer
    x = 83,059.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.