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Finding the Third Proportional to 13,452.75 and 31,870.13

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Solution

The third proportional to 13,452.75 and 31,870.13 is: 75,501.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452.75 : 31,870.13 = 31,870.13 : x
  2. Step 2: Convert to fraction form
    13,452.75/31,870.13 = 31,870.13/x
  3. Step 3: Cross multiply
    13,452.75x = 31,870.13 × 31,870.13
  4. Step 4: Simplify right side
    13,452.75x = 1,015,704,867.52
  5. Step 5: Solve for x
    x = 1,015,704,867.52/13,452.75
  6. Step 6: Final answer
    x = 75,501.65

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.