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Finding the Third Proportional to 5,350.31 and 11,524.13

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Solution

The third proportional to 5,350.31 and 11,524.13 is: 24,822.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350.31 : 11,524.13 = 11,524.13 : x
  2. Step 2: Convert to fraction form
    5,350.31/11,524.13 = 11,524.13/x
  3. Step 3: Cross multiply
    5,350.31x = 11,524.13 × 11,524.13
  4. Step 4: Simplify right side
    5,350.31x = 132,805,457.02
  5. Step 5: Solve for x
    x = 132,805,457.02/5,350.31
  6. Step 6: Final answer
    x = 24,822.00

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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.