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Finding the Third Proportional to 29,744 and 65,548

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Solution

The third proportional to 29,744 and 65,548 is: 144,450.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,744 : 65,548 = 65,548 : x
  2. Step 2: Convert to fraction form
    29,744/65,548 = 65,548/x
  3. Step 3: Cross multiply
    29,744x = 65,548 × 65,548
  4. Step 4: Simplify right side
    29,744x = 4,296,540,304
  5. Step 5: Solve for x
    x = 4,296,540,304/29,744
  6. Step 6: Final answer
    x = 144,450.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.