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Finding the Third Proportional to 34,767.38 and 75,731.25

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Solution

The third proportional to 34,767.38 and 75,731.25 is: 164,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,767.38 : 75,731.25 = 75,731.25 : x
  2. Step 2: Convert to fraction form
    34,767.38/75,731.25 = 75,731.25/x
  3. Step 3: Cross multiply
    34,767.38x = 75,731.25 × 75,731.25
  4. Step 4: Simplify right side
    34,767.38x = 5,735,222,226.56
  5. Step 5: Solve for x
    x = 5,735,222,226.56/34,767.38
  6. Step 6: Final answer
    x = 164,959.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.