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Finding the Third Proportional to 5,015.67 and 11,614.01

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Solution

The third proportional to 5,015.67 and 11,614.01 is: 26,892.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,015.67 : 11,614.01 = 11,614.01 : x
  2. Step 2: Convert to fraction form
    5,015.67/11,614.01 = 11,614.01/x
  3. Step 3: Cross multiply
    5,015.67x = 11,614.01 × 11,614.01
  4. Step 4: Simplify right side
    5,015.67x = 134,885,177.47
  5. Step 5: Solve for x
    x = 134,885,177.47/5,015.67
  6. Step 6: Final answer
    x = 26,892.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.