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Finding the Third Proportional to 17,713.69 and 36,946.13

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Solution

The third proportional to 17,713.69 and 36,946.13 is: 77,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,713.69 : 36,946.13 = 36,946.13 : x
  2. Step 2: Convert to fraction form
    17,713.69/36,946.13 = 36,946.13/x
  3. Step 3: Cross multiply
    17,713.69x = 36,946.13 × 36,946.13
  4. Step 4: Simplify right side
    17,713.69x = 1,365,016,152.52
  5. Step 5: Solve for x
    x = 1,365,016,152.52/17,713.69
  6. Step 6: Final answer
    x = 77,059.97

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.