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Finding the Third Proportional to 2,402.75 and 5,164.75

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Solution

The third proportional to 2,402.75 and 5,164.75 is: 11,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.75 : 5,164.75 = 5,164.75 : x
  2. Step 2: Convert to fraction form
    2,402.75/5,164.75 = 5,164.75/x
  3. Step 3: Cross multiply
    2,402.75x = 5,164.75 × 5,164.75
  4. Step 4: Simplify right side
    2,402.75x = 26,674,642.56
  5. Step 5: Solve for x
    x = 26,674,642.56/2,402.75
  6. Step 6: Final answer
    x = 11,101.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.