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Finding the Third Proportional to 2,691.98 and 5,710.08

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Solution

The third proportional to 2,691.98 and 5,710.08 is: 12,111.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.98 : 5,710.08 = 5,710.08 : x
  2. Step 2: Convert to fraction form
    2,691.98/5,710.08 = 5,710.08/x
  3. Step 3: Cross multiply
    2,691.98x = 5,710.08 × 5,710.08
  4. Step 4: Simplify right side
    2,691.98x = 32,604,992.19
  5. Step 5: Solve for x
    x = 32,604,992.19/2,691.98
  6. Step 6: Final answer
    x = 12,111.88

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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.