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Finding the Third Proportional to 2,710.13 and 5,856.19

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Solution

The third proportional to 2,710.13 and 5,856.19 is: 12,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.13 : 5,856.19 = 5,856.19 : x
  2. Step 2: Convert to fraction form
    2,710.13/5,856.19 = 5,856.19/x
  3. Step 3: Cross multiply
    2,710.13x = 5,856.19 × 5,856.19
  4. Step 4: Simplify right side
    2,710.13x = 34,294,932.04
  5. Step 5: Solve for x
    x = 34,294,932.04/2,710.13
  6. Step 6: Final answer
    x = 12,654.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.