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Finding the Third Proportional to 34,039.69 and 73,207.69

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Solution

The third proportional to 34,039.69 and 73,207.69 is: 157,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,039.69 : 73,207.69 = 73,207.69 : x
  2. Step 2: Convert to fraction form
    34,039.69/73,207.69 = 73,207.69/x
  3. Step 3: Cross multiply
    34,039.69x = 73,207.69 × 73,207.69
  4. Step 4: Simplify right side
    34,039.69x = 5,359,365,509.10
  5. Step 5: Solve for x
    x = 5,359,365,509.10/34,039.69
  6. Step 6: Final answer
    x = 157,444.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.