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Finding the Third Proportional to 25,147.13 and 34,242.75

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Solution

The third proportional to 25,147.13 and 34,242.75 is: 46,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,147.13 : 34,242.75 = 34,242.75 : x
  2. Step 2: Convert to fraction form
    25,147.13/34,242.75 = 34,242.75/x
  3. Step 3: Cross multiply
    25,147.13x = 34,242.75 × 34,242.75
  4. Step 4: Simplify right side
    25,147.13x = 1,172,565,927.56
  5. Step 5: Solve for x
    x = 1,172,565,927.56/25,147.13
  6. Step 6: Final answer
    x = 46,628.23

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.