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Finding the Third Proportional to 31,299.75 and 48,471.75

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Solution

The third proportional to 31,299.75 and 48,471.75 is: 75,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.75 : 48,471.75 = 48,471.75 : x
  2. Step 2: Convert to fraction form
    31,299.75/48,471.75 = 48,471.75/x
  3. Step 3: Cross multiply
    31,299.75x = 48,471.75 × 48,471.75
  4. Step 4: Simplify right side
    31,299.75x = 2,349,510,548.06
  5. Step 5: Solve for x
    x = 2,349,510,548.06/31,299.75
  6. Step 6: Final answer
    x = 75,064.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.