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Finding the Third Proportional to 32,905.13 and 52,273.69

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Solution

The third proportional to 32,905.13 and 52,273.69 is: 83,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,905.13 : 52,273.69 = 52,273.69 : x
  2. Step 2: Convert to fraction form
    32,905.13/52,273.69 = 52,273.69/x
  3. Step 3: Cross multiply
    32,905.13x = 52,273.69 × 52,273.69
  4. Step 4: Simplify right side
    32,905.13x = 2,732,538,404.85
  5. Step 5: Solve for x
    x = 2,732,538,404.85/32,905.13
  6. Step 6: Final answer
    x = 83,042.94

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.