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Finding the Third Proportional to 34,009.25 and 73,843

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Solution

The third proportional to 34,009.25 and 73,843 is: 160,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.25 : 73,843 = 73,843 : x
  2. Step 2: Convert to fraction form
    34,009.25/73,843 = 73,843/x
  3. Step 3: Cross multiply
    34,009.25x = 73,843 × 73,843
  4. Step 4: Simplify right side
    34,009.25x = 5,452,788,649
  5. Step 5: Solve for x
    x = 5,452,788,649/34,009.25
  6. Step 6: Final answer
    x = 160,332.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.