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Finding the Third Proportional to 25,896.38 and 39,989.53

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Solution

The third proportional to 25,896.38 and 39,989.53 is: 61,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,896.38 : 39,989.53 = 39,989.53 : x
  2. Step 2: Convert to fraction form
    25,896.38/39,989.53 = 39,989.53/x
  3. Step 3: Cross multiply
    25,896.38x = 39,989.53 × 39,989.53
  4. Step 4: Simplify right side
    25,896.38x = 1,599,162,609.59
  5. Step 5: Solve for x
    x = 1,599,162,609.59/25,896.38
  6. Step 6: Final answer
    x = 61,752.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.