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Finding the Third Proportional to 2,723.10 and 5,773.15

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Solution

The third proportional to 2,723.10 and 5,773.15 is: 12,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723.10 : 5,773.15 = 5,773.15 : x
  2. Step 2: Convert to fraction form
    2,723.10/5,773.15 = 5,773.15/x
  3. Step 3: Cross multiply
    2,723.10x = 5,773.15 × 5,773.15
  4. Step 4: Simplify right side
    2,723.10x = 33,329,248.23
  5. Step 5: Solve for x
    x = 33,329,248.23/2,723.10
  6. Step 6: Final answer
    x = 12,239.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.