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Finding the Third Proportional to 2,666.67 and 5,773.78

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Solution

The third proportional to 2,666.67 and 5,773.78 is: 12,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.67 : 5,773.78 = 5,773.78 : x
  2. Step 2: Convert to fraction form
    2,666.67/5,773.78 = 5,773.78/x
  3. Step 3: Cross multiply
    2,666.67x = 5,773.78 × 5,773.78
  4. Step 4: Simplify right side
    2,666.67x = 33,336,549.92
  5. Step 5: Solve for x
    x = 33,336,549.92/2,666.67
  6. Step 6: Final answer
    x = 12,501.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.