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Finding the Third Proportional to 41,644.13 and 65,017.69

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Solution

The third proportional to 41,644.13 and 65,017.69 is: 101,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644.13 : 65,017.69 = 65,017.69 : x
  2. Step 2: Convert to fraction form
    41,644.13/65,017.69 = 65,017.69/x
  3. Step 3: Cross multiply
    41,644.13x = 65,017.69 × 65,017.69
  4. Step 4: Simplify right side
    41,644.13x = 4,227,299,687.85
  5. Step 5: Solve for x
    x = 4,227,299,687.85/41,644.13
  6. Step 6: Final answer
    x = 101,510.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.