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Finding the Third Proportional to 11,239.17 and 24,118.17

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Solution

The third proportional to 11,239.17 and 24,118.17 is: 51,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,239.17 : 24,118.17 = 24,118.17 : x
  2. Step 2: Convert to fraction form
    11,239.17/24,118.17 = 24,118.17/x
  3. Step 3: Cross multiply
    11,239.17x = 24,118.17 × 24,118.17
  4. Step 4: Simplify right side
    11,239.17x = 581,686,214.59
  5. Step 5: Solve for x
    x = 581,686,214.59/11,239.17
  6. Step 6: Final answer
    x = 51,755.26

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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.