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Finding the Third Proportional to 37,422 and 57,867.75

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Solution

The third proportional to 37,422 and 57,867.75 is: 89,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,422 : 57,867.75 = 57,867.75 : x
  2. Step 2: Convert to fraction form
    37,422/57,867.75 = 57,867.75/x
  3. Step 3: Cross multiply
    37,422x = 57,867.75 × 57,867.75
  4. Step 4: Simplify right side
    37,422x = 3,348,676,490.06
  5. Step 5: Solve for x
    x = 3,348,676,490.06/37,422
  6. Step 6: Final answer
    x = 89,484.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.