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Finding the Third Proportional to 29,760 and 65,472

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Solution

The third proportional to 29,760 and 65,472 is: 144,038.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,760 : 65,472 = 65,472 : x
  2. Step 2: Convert to fraction form
    29,760/65,472 = 65,472/x
  3. Step 3: Cross multiply
    29,760x = 65,472 × 65,472
  4. Step 4: Simplify right side
    29,760x = 4,286,582,784
  5. Step 5: Solve for x
    x = 4,286,582,784/29,760
  6. Step 6: Final answer
    x = 144,038.40

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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.