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Finding the Third Proportional to 25,789.50 and 41,040

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Solution

The third proportional to 25,789.50 and 41,040 is: 65,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,789.50 : 41,040 = 41,040 : x
  2. Step 2: Convert to fraction form
    25,789.50/41,040 = 41,040/x
  3. Step 3: Cross multiply
    25,789.50x = 41,040 × 41,040
  4. Step 4: Simplify right side
    25,789.50x = 1,684,281,600
  5. Step 5: Solve for x
    x = 1,684,281,600/25,789.50
  6. Step 6: Final answer
    x = 65,308.81

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.