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Finding the Third Proportional to 38,000.25 and 58,494.38

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Solution

The third proportional to 38,000.25 and 58,494.38 is: 90,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,000.25 : 58,494.38 = 58,494.38 : x
  2. Step 2: Convert to fraction form
    38,000.25/58,494.38 = 58,494.38/x
  3. Step 3: Cross multiply
    38,000.25x = 58,494.38 × 58,494.38
  4. Step 4: Simplify right side
    38,000.25x = 3,421,591,906.64
  5. Step 5: Solve for x
    x = 3,421,591,906.64/38,000.25
  6. Step 6: Final answer
    x = 90,041.30

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.