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Finding the Third Proportional to 32,842.13 and 68,995.13

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Solution

The third proportional to 32,842.13 and 68,995.13 is: 144,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,842.13 : 68,995.13 = 68,995.13 : x
  2. Step 2: Convert to fraction form
    32,842.13/68,995.13 = 68,995.13/x
  3. Step 3: Cross multiply
    32,842.13x = 68,995.13 × 68,995.13
  4. Step 4: Simplify right side
    32,842.13x = 4,760,327,273.77
  5. Step 5: Solve for x
    x = 4,760,327,273.77/32,842.13
  6. Step 6: Final answer
    x = 144,945.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.