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Finding the Third Proportional to 14,542 and 32,374

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Solution

The third proportional to 14,542 and 32,374 is: 72,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542 : 32,374 = 32,374 : x
  2. Step 2: Convert to fraction form
    14,542/32,374 = 32,374/x
  3. Step 3: Cross multiply
    14,542x = 32,374 × 32,374
  4. Step 4: Simplify right side
    14,542x = 1,048,075,876
  5. Step 5: Solve for x
    x = 1,048,075,876/14,542
  6. Step 6: Final answer
    x = 72,072.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.