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Finding the Third Proportional to 27,465.75 and 40,591.13

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Solution

The third proportional to 27,465.75 and 40,591.13 is: 59,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,465.75 : 40,591.13 = 40,591.13 : x
  2. Step 2: Convert to fraction form
    27,465.75/40,591.13 = 40,591.13/x
  3. Step 3: Cross multiply
    27,465.75x = 40,591.13 × 40,591.13
  4. Step 4: Simplify right side
    27,465.75x = 1,647,639,428.77
  5. Step 5: Solve for x
    x = 1,647,639,428.77/27,465.75
  6. Step 6: Final answer
    x = 59,988.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.