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Finding the Third Proportional to 33,964.31 and 79,916.63

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Solution

The third proportional to 33,964.31 and 79,916.63 is: 188,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,964.31 : 79,916.63 = 79,916.63 : x
  2. Step 2: Convert to fraction form
    33,964.31/79,916.63 = 79,916.63/x
  3. Step 3: Cross multiply
    33,964.31x = 79,916.63 × 79,916.63
  4. Step 4: Simplify right side
    33,964.31x = 6,386,666,951.39
  5. Step 5: Solve for x
    x = 6,386,666,951.39/33,964.31
  6. Step 6: Final answer
    x = 188,040.52

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.