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Finding the Third Proportional to 30,591 and 40,314

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Solution

The third proportional to 30,591 and 40,314 is: 53,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591 : 40,314 = 40,314 : x
  2. Step 2: Convert to fraction form
    30,591/40,314 = 40,314/x
  3. Step 3: Cross multiply
    30,591x = 40,314 × 40,314
  4. Step 4: Simplify right side
    30,591x = 1,625,218,596
  5. Step 5: Solve for x
    x = 1,625,218,596/30,591
  6. Step 6: Final answer
    x = 53,127.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.