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Finding the Third Proportional to 29,376 and 65,291

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Solution

The third proportional to 29,376 and 65,291 is: 145,115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,376 : 65,291 = 65,291 : x
  2. Step 2: Convert to fraction form
    29,376/65,291 = 65,291/x
  3. Step 3: Cross multiply
    29,376x = 65,291 × 65,291
  4. Step 4: Simplify right side
    29,376x = 4,262,914,681
  5. Step 5: Solve for x
    x = 4,262,914,681/29,376
  6. Step 6: Final answer
    x = 145,115.56

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.