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Finding the Third Proportional to 25,077.50 and 36,847.25

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Solution

The third proportional to 25,077.50 and 36,847.25 is: 54,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077.50 : 36,847.25 = 36,847.25 : x
  2. Step 2: Convert to fraction form
    25,077.50/36,847.25 = 36,847.25/x
  3. Step 3: Cross multiply
    25,077.50x = 36,847.25 × 36,847.25
  4. Step 4: Simplify right side
    25,077.50x = 1,357,719,832.56
  5. Step 5: Solve for x
    x = 1,357,719,832.56/25,077.50
  6. Step 6: Final answer
    x = 54,140.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.