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Finding the Third Proportional to 25,665.38 and 38,393.63

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Solution

The third proportional to 25,665.38 and 38,393.63 is: 57,434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.38 : 38,393.63 = 38,393.63 : x
  2. Step 2: Convert to fraction form
    25,665.38/38,393.63 = 38,393.63/x
  3. Step 3: Cross multiply
    25,665.38x = 38,393.63 × 38,393.63
  4. Step 4: Simplify right side
    25,665.38x = 1,474,070,440.64
  5. Step 5: Solve for x
    x = 1,474,070,440.64/25,665.38
  6. Step 6: Final answer
    x = 57,434.21

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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.