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Finding the Third Proportional to 23,163.75 and 49,060.13

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Solution

The third proportional to 23,163.75 and 49,060.13 is: 103,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,163.75 : 49,060.13 = 49,060.13 : x
  2. Step 2: Convert to fraction form
    23,163.75/49,060.13 = 49,060.13/x
  3. Step 3: Cross multiply
    23,163.75x = 49,060.13 × 49,060.13
  4. Step 4: Simplify right side
    23,163.75x = 2,406,895,865.02
  5. Step 5: Solve for x
    x = 2,406,895,865.02/23,163.75
  6. Step 6: Final answer
    x = 103,907.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.