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Finding the Third Proportional to 25,904.25 and 32,138.75

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Solution

The third proportional to 25,904.25 and 32,138.75 is: 39,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,904.25 : 32,138.75 = 32,138.75 : x
  2. Step 2: Convert to fraction form
    25,904.25/32,138.75 = 32,138.75/x
  3. Step 3: Cross multiply
    25,904.25x = 32,138.75 × 32,138.75
  4. Step 4: Simplify right side
    25,904.25x = 1,032,899,251.56
  5. Step 5: Solve for x
    x = 1,032,899,251.56/25,904.25
  6. Step 6: Final answer
    x = 39,873.74

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These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.