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Finding the Third Proportional to 13,374 and 32,373

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Solution

The third proportional to 13,374 and 32,373 is: 78,361.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374 : 32,373 = 32,373 : x
  2. Step 2: Convert to fraction form
    13,374/32,373 = 32,373/x
  3. Step 3: Cross multiply
    13,374x = 32,373 × 32,373
  4. Step 4: Simplify right side
    13,374x = 1,048,011,129
  5. Step 5: Solve for x
    x = 1,048,011,129/13,374
  6. Step 6: Final answer
    x = 78,361.83

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.