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Finding the Third Proportional to 17,437.78 and 37,829.53

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Solution

The third proportional to 17,437.78 and 37,829.53 is: 82,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,437.78 : 37,829.53 = 37,829.53 : x
  2. Step 2: Convert to fraction form
    17,437.78/37,829.53 = 37,829.53/x
  3. Step 3: Cross multiply
    17,437.78x = 37,829.53 × 37,829.53
  4. Step 4: Simplify right side
    17,437.78x = 1,431,073,434.59
  5. Step 5: Solve for x
    x = 1,431,073,434.59/17,437.78
  6. Step 6: Final answer
    x = 82,067.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.