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Finding the Third Proportional to 25,368.75 and 54,517.50

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Solution

The third proportional to 25,368.75 and 54,517.50 is: 117,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,368.75 : 54,517.50 = 54,517.50 : x
  2. Step 2: Convert to fraction form
    25,368.75/54,517.50 = 54,517.50/x
  3. Step 3: Cross multiply
    25,368.75x = 54,517.50 × 54,517.50
  4. Step 4: Simplify right side
    25,368.75x = 2,972,157,806.25
  5. Step 5: Solve for x
    x = 2,972,157,806.25/25,368.75
  6. Step 6: Final answer
    x = 117,158.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.