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Finding the Third Proportional to 25,760.25 and 38,999.25

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Solution

The third proportional to 25,760.25 and 38,999.25 is: 59,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,760.25 : 38,999.25 = 38,999.25 : x
  2. Step 2: Convert to fraction form
    25,760.25/38,999.25 = 38,999.25/x
  3. Step 3: Cross multiply
    25,760.25x = 38,999.25 × 38,999.25
  4. Step 4: Simplify right side
    25,760.25x = 1,520,941,500.56
  5. Step 5: Solve for x
    x = 1,520,941,500.56/25,760.25
  6. Step 6: Final answer
    x = 59,042.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.