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Finding the Third Proportional to 31,331.25 and 48,557.25

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Solution

The third proportional to 31,331.25 and 48,557.25 is: 75,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,331.25 : 48,557.25 = 48,557.25 : x
  2. Step 2: Convert to fraction form
    31,331.25/48,557.25 = 48,557.25/x
  3. Step 3: Cross multiply
    31,331.25x = 48,557.25 × 48,557.25
  4. Step 4: Simplify right side
    31,331.25x = 2,357,806,527.56
  5. Step 5: Solve for x
    x = 2,357,806,527.56/31,331.25
  6. Step 6: Final answer
    x = 75,254.15

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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.