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Finding the Third Proportional to 25,778.25 and 40,894.88

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Solution

The third proportional to 25,778.25 and 40,894.88 is: 64,876.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,778.25 : 40,894.88 = 40,894.88 : x
  2. Step 2: Convert to fraction form
    25,778.25/40,894.88 = 40,894.88/x
  3. Step 3: Cross multiply
    25,778.25x = 40,894.88 × 40,894.88
  4. Step 4: Simplify right side
    25,778.25x = 1,672,390,801.27
  5. Step 5: Solve for x
    x = 1,672,390,801.27/25,778.25
  6. Step 6: Final answer
    x = 64,876.04

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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.