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Finding the Third Proportional to 15,769.69 and 33,711.19

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Solution

The third proportional to 15,769.69 and 33,711.19 is: 72,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769.69 : 33,711.19 = 33,711.19 : x
  2. Step 2: Convert to fraction form
    15,769.69/33,711.19 = 33,711.19/x
  3. Step 3: Cross multiply
    15,769.69x = 33,711.19 × 33,711.19
  4. Step 4: Simplify right side
    15,769.69x = 1,136,444,162.66
  5. Step 5: Solve for x
    x = 1,136,444,162.66/15,769.69
  6. Step 6: Final answer
    x = 72,065.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.