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Finding the Third Proportional to 29,416 and 43,548

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Solution

The third proportional to 29,416 and 43,548 is: 64,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,416 : 43,548 = 43,548 : x
  2. Step 2: Convert to fraction form
    29,416/43,548 = 43,548/x
  3. Step 3: Cross multiply
    29,416x = 43,548 × 43,548
  4. Step 4: Simplify right side
    29,416x = 1,896,428,304
  5. Step 5: Solve for x
    x = 1,896,428,304/29,416
  6. Step 6: Final answer
    x = 64,469.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.