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Finding the Third Proportional to 6,967.69 and 15,877.69

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Solution

The third proportional to 6,967.69 and 15,877.69 is: 36,181.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,967.69 : 15,877.69 = 15,877.69 : x
  2. Step 2: Convert to fraction form
    6,967.69/15,877.69 = 15,877.69/x
  3. Step 3: Cross multiply
    6,967.69x = 15,877.69 × 15,877.69
  4. Step 4: Simplify right side
    6,967.69x = 252,100,960.35
  5. Step 5: Solve for x
    x = 252,100,960.35/6,967.69
  6. Step 6: Final answer
    x = 36,181.44

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.