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Finding the Third Proportional to 24,927.75 and 34,912.13

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Solution

The third proportional to 24,927.75 and 34,912.13 is: 48,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,927.75 : 34,912.13 = 34,912.13 : x
  2. Step 2: Convert to fraction form
    24,927.75/34,912.13 = 34,912.13/x
  3. Step 3: Cross multiply
    24,927.75x = 34,912.13 × 34,912.13
  4. Step 4: Simplify right side
    24,927.75x = 1,218,856,472.02
  5. Step 5: Solve for x
    x = 1,218,856,472.02/24,927.75
  6. Step 6: Final answer
    x = 48,895.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.