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Finding the Third Proportional to 15,099.75 and 24,958.13

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Solution

The third proportional to 15,099.75 and 24,958.13 is: 41,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,099.75 : 24,958.13 = 24,958.13 : x
  2. Step 2: Convert to fraction form
    15,099.75/24,958.13 = 24,958.13/x
  3. Step 3: Cross multiply
    15,099.75x = 24,958.13 × 24,958.13
  4. Step 4: Simplify right side
    15,099.75x = 622,908,003.52
  5. Step 5: Solve for x
    x = 622,908,003.52/15,099.75
  6. Step 6: Final answer
    x = 41,252.87

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.