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Finding the Third Proportional to 25,098.75 and 38,884.50

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Solution

The third proportional to 25,098.75 and 38,884.50 is: 60,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098.75 : 38,884.50 = 38,884.50 : x
  2. Step 2: Convert to fraction form
    25,098.75/38,884.50 = 38,884.50/x
  3. Step 3: Cross multiply
    25,098.75x = 38,884.50 × 38,884.50
  4. Step 4: Simplify right side
    25,098.75x = 1,512,004,340.25
  5. Step 5: Solve for x
    x = 1,512,004,340.25/25,098.75
  6. Step 6: Final answer
    x = 60,242.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.