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Finding the Third Proportional to 25,949.75 and 34,868.75

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Solution

The third proportional to 25,949.75 and 34,868.75 is: 46,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,949.75 : 34,868.75 = 34,868.75 : x
  2. Step 2: Convert to fraction form
    25,949.75/34,868.75 = 34,868.75/x
  3. Step 3: Cross multiply
    25,949.75x = 34,868.75 × 34,868.75
  4. Step 4: Simplify right side
    25,949.75x = 1,215,829,726.56
  5. Step 5: Solve for x
    x = 1,215,829,726.56/25,949.75
  6. Step 6: Final answer
    x = 46,853.23

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.