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Finding the Third Proportional to 25,851.38 and 41,476.50

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Solution

The third proportional to 25,851.38 and 41,476.50 is: 66,545.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851.38 : 41,476.50 = 41,476.50 : x
  2. Step 2: Convert to fraction form
    25,851.38/41,476.50 = 41,476.50/x
  3. Step 3: Cross multiply
    25,851.38x = 41,476.50 × 41,476.50
  4. Step 4: Simplify right side
    25,851.38x = 1,720,300,052.25
  5. Step 5: Solve for x
    x = 1,720,300,052.25/25,851.38
  6. Step 6: Final answer
    x = 66,545.79

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.