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Finding the Third Proportional to 33,374 and 62,545

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Solution

The third proportional to 33,374 and 62,545 is: 117,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,374 : 62,545 = 62,545 : x
  2. Step 2: Convert to fraction form
    33,374/62,545 = 62,545/x
  3. Step 3: Cross multiply
    33,374x = 62,545 × 62,545
  4. Step 4: Simplify right side
    33,374x = 3,911,877,025
  5. Step 5: Solve for x
    x = 3,911,877,025/33,374
  6. Step 6: Final answer
    x = 117,213.31

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.