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Finding the Third Proportional to 25,447.50 and 31,711.50

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Solution

The third proportional to 25,447.50 and 31,711.50 is: 39,517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,447.50 : 31,711.50 = 31,711.50 : x
  2. Step 2: Convert to fraction form
    25,447.50/31,711.50 = 31,711.50/x
  3. Step 3: Cross multiply
    25,447.50x = 31,711.50 × 31,711.50
  4. Step 4: Simplify right side
    25,447.50x = 1,005,619,232.25
  5. Step 5: Solve for x
    x = 1,005,619,232.25/25,447.50
  6. Step 6: Final answer
    x = 39,517.41

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.