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Finding the Third Proportional to 37,851.75 and 58,103.16

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Solution

The third proportional to 37,851.75 and 58,103.16 is: 89,189.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,851.75 : 58,103.16 = 58,103.16 : x
  2. Step 2: Convert to fraction form
    37,851.75/58,103.16 = 58,103.16/x
  3. Step 3: Cross multiply
    37,851.75x = 58,103.16 × 58,103.16
  4. Step 4: Simplify right side
    37,851.75x = 3,375,976,766.21
  5. Step 5: Solve for x
    x = 3,375,976,766.21/37,851.75
  6. Step 6: Final answer
    x = 89,189.45

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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.