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Finding the Third Proportional to 34,599.38 and 75,661.31

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Solution

The third proportional to 34,599.38 and 75,661.31 is: 165,454.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,599.38 : 75,661.31 = 75,661.31 : x
  2. Step 2: Convert to fraction form
    34,599.38/75,661.31 = 75,661.31/x
  3. Step 3: Cross multiply
    34,599.38x = 75,661.31 × 75,661.31
  4. Step 4: Simplify right side
    34,599.38x = 5,724,634,209.22
  5. Step 5: Solve for x
    x = 5,724,634,209.22/34,599.38
  6. Step 6: Final answer
    x = 165,454.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.