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Finding the Third Proportional to 11,521.13 and 24,135.19

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Solution

The third proportional to 11,521.13 and 24,135.19 is: 50,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,521.13 : 24,135.19 = 24,135.19 : x
  2. Step 2: Convert to fraction form
    11,521.13/24,135.19 = 24,135.19/x
  3. Step 3: Cross multiply
    11,521.13x = 24,135.19 × 24,135.19
  4. Step 4: Simplify right side
    11,521.13x = 582,507,275.66
  5. Step 5: Solve for x
    x = 582,507,275.66/11,521.13
  6. Step 6: Final answer
    x = 50,559.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.