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Finding the Third Proportional to 2,610.14 and 5,476.57

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Solution

The third proportional to 2,610.14 and 5,476.57 is: 11,490.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.14 : 5,476.57 = 5,476.57 : x
  2. Step 2: Convert to fraction form
    2,610.14/5,476.57 = 5,476.57/x
  3. Step 3: Cross multiply
    2,610.14x = 5,476.57 × 5,476.57
  4. Step 4: Simplify right side
    2,610.14x = 29,992,822.39
  5. Step 5: Solve for x
    x = 29,992,822.39/2,610.14
  6. Step 6: Final answer
    x = 11,490.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.