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Finding the Third Proportional to 5,069.31 and 6,780.94

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Solution

The third proportional to 5,069.31 and 6,780.94 is: 9,070.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.31 : 6,780.94 = 6,780.94 : x
  2. Step 2: Convert to fraction form
    5,069.31/6,780.94 = 6,780.94/x
  3. Step 3: Cross multiply
    5,069.31x = 6,780.94 × 6,780.94
  4. Step 4: Simplify right side
    5,069.31x = 45,981,113.38
  5. Step 5: Solve for x
    x = 45,981,113.38/5,069.31
  6. Step 6: Final answer
    x = 9,070.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.