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Finding the Third Proportional to 5,010.29 and 7,757.65

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Solution

The third proportional to 5,010.29 and 7,757.65 is: 12,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.29 : 7,757.65 = 7,757.65 : x
  2. Step 2: Convert to fraction form
    5,010.29/7,757.65 = 7,757.65/x
  3. Step 3: Cross multiply
    5,010.29x = 7,757.65 × 7,757.65
  4. Step 4: Simplify right side
    5,010.29x = 60,181,109.28
  5. Step 5: Solve for x
    x = 60,181,109.28/5,010.29
  6. Step 6: Final answer
    x = 12,011.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.