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Finding the Third Proportional to 37,789.88 and 57,110.06

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Solution

The third proportional to 37,789.88 and 57,110.06 is: 86,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,789.88 : 57,110.06 = 57,110.06 : x
  2. Step 2: Convert to fraction form
    37,789.88/57,110.06 = 57,110.06/x
  3. Step 3: Cross multiply
    37,789.88x = 57,110.06 × 57,110.06
  4. Step 4: Simplify right side
    37,789.88x = 3,261,559,238.75
  5. Step 5: Solve for x
    x = 3,261,559,238.75/37,789.88
  6. Step 6: Final answer
    x = 86,307.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.