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Finding the Third Proportional to 30,781.69 and 63,694.69

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Solution

The third proportional to 30,781.69 and 63,694.69 is: 131,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,781.69 : 63,694.69 = 63,694.69 : x
  2. Step 2: Convert to fraction form
    30,781.69/63,694.69 = 63,694.69/x
  3. Step 3: Cross multiply
    30,781.69x = 63,694.69 × 63,694.69
  4. Step 4: Simplify right side
    30,781.69x = 4,057,013,215.72
  5. Step 5: Solve for x
    x = 4,057,013,215.72/30,781.69
  6. Step 6: Final answer
    x = 131,799.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.