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Finding the Third Proportional to 11,219.88 and 24,297.13

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Solution

The third proportional to 11,219.88 and 24,297.13 is: 52,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.88 : 24,297.13 = 24,297.13 : x
  2. Step 2: Convert to fraction form
    11,219.88/24,297.13 = 24,297.13/x
  3. Step 3: Cross multiply
    11,219.88x = 24,297.13 × 24,297.13
  4. Step 4: Simplify right side
    11,219.88x = 590,350,283.27
  5. Step 5: Solve for x
    x = 590,350,283.27/11,219.88
  6. Step 6: Final answer
    x = 52,616.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.