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Finding the Third Proportional to 25,188.50 and 34,087

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Solution

The third proportional to 25,188.50 and 34,087 is: 46,129.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,188.50 : 34,087 = 34,087 : x
  2. Step 2: Convert to fraction form
    25,188.50/34,087 = 34,087/x
  3. Step 3: Cross multiply
    25,188.50x = 34,087 × 34,087
  4. Step 4: Simplify right side
    25,188.50x = 1,161,923,569
  5. Step 5: Solve for x
    x = 1,161,923,569/25,188.50
  6. Step 6: Final answer
    x = 46,129.13

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.