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Finding the Third Proportional to 29,952 and 65,760

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Solution

The third proportional to 29,952 and 65,760 is: 144,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,952 : 65,760 = 65,760 : x
  2. Step 2: Convert to fraction form
    29,952/65,760 = 65,760/x
  3. Step 3: Cross multiply
    29,952x = 65,760 × 65,760
  4. Step 4: Simplify right side
    29,952x = 4,324,377,600
  5. Step 5: Solve for x
    x = 4,324,377,600/29,952
  6. Step 6: Final answer
    x = 144,376.92

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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.