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Finding the Third Proportional to 25,805.81 and 36,340.31

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Solution

The third proportional to 25,805.81 and 36,340.31 is: 51,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,805.81 : 36,340.31 = 36,340.31 : x
  2. Step 2: Convert to fraction form
    25,805.81/36,340.31 = 36,340.31/x
  3. Step 3: Cross multiply
    25,805.81x = 36,340.31 × 36,340.31
  4. Step 4: Simplify right side
    25,805.81x = 1,320,618,312.60
  5. Step 5: Solve for x
    x = 1,320,618,312.60/25,805.81
  6. Step 6: Final answer
    x = 51,175.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.