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Finding the Third Proportional to 13,382 and 31,548

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Solution

The third proportional to 13,382 and 31,548 is: 74,374.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382 : 31,548 = 31,548 : x
  2. Step 2: Convert to fraction form
    13,382/31,548 = 31,548/x
  3. Step 3: Cross multiply
    13,382x = 31,548 × 31,548
  4. Step 4: Simplify right side
    13,382x = 995,276,304
  5. Step 5: Solve for x
    x = 995,276,304/13,382
  6. Step 6: Final answer
    x = 74,374.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.