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Finding the Third Proportional to 27,114.75 and 39,436.88

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Solution

The third proportional to 27,114.75 and 39,436.88 is: 57,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,114.75 : 39,436.88 = 39,436.88 : x
  2. Step 2: Convert to fraction form
    27,114.75/39,436.88 = 39,436.88/x
  3. Step 3: Cross multiply
    27,114.75x = 39,436.88 × 39,436.88
  4. Step 4: Simplify right side
    27,114.75x = 1,555,267,109.77
  5. Step 5: Solve for x
    x = 1,555,267,109.77/27,114.75
  6. Step 6: Final answer
    x = 57,358.71

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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.