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Finding the Third Proportional to 32,376 and 70,449

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Solution

The third proportional to 32,376 and 70,449 is: 153,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,376 : 70,449 = 70,449 : x
  2. Step 2: Convert to fraction form
    32,376/70,449 = 70,449/x
  3. Step 3: Cross multiply
    32,376x = 70,449 × 70,449
  4. Step 4: Simplify right side
    32,376x = 4,963,061,601
  5. Step 5: Solve for x
    x = 4,963,061,601/32,376
  6. Step 6: Final answer
    x = 153,294.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.