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Finding the Third Proportional to 29,772 and 65,496

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Solution

The third proportional to 29,772 and 65,496 is: 144,085.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,772 : 65,496 = 65,496 : x
  2. Step 2: Convert to fraction form
    29,772/65,496 = 65,496/x
  3. Step 3: Cross multiply
    29,772x = 65,496 × 65,496
  4. Step 4: Simplify right side
    29,772x = 4,289,726,016
  5. Step 5: Solve for x
    x = 4,289,726,016/29,772
  6. Step 6: Final answer
    x = 144,085.92

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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.