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Finding the Third Proportional to 29,376 and 65,475

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Solution

The third proportional to 29,376 and 65,475 is: 145,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,376 : 65,475 = 65,475 : x
  2. Step 2: Convert to fraction form
    29,376/65,475 = 65,475/x
  3. Step 3: Cross multiply
    29,376x = 65,475 × 65,475
  4. Step 4: Simplify right side
    29,376x = 4,286,975,625
  5. Step 5: Solve for x
    x = 4,286,975,625/29,376
  6. Step 6: Final answer
    x = 145,934.63

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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.