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Finding the Third Proportional to 25,671.38 and 38,401.88

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Solution

The third proportional to 25,671.38 and 38,401.88 is: 57,445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,671.38 : 38,401.88 = 38,401.88 : x
  2. Step 2: Convert to fraction form
    25,671.38/38,401.88 = 38,401.88/x
  3. Step 3: Cross multiply
    25,671.38x = 38,401.88 × 38,401.88
  4. Step 4: Simplify right side
    25,671.38x = 1,474,704,003.52
  5. Step 5: Solve for x
    x = 1,474,704,003.52/25,671.38
  6. Step 6: Final answer
    x = 57,445.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.