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Finding the Third Proportional to 11,122 and 24,175

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Solution

The third proportional to 11,122 and 24,175 is: 52,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122 : 24,175 = 24,175 : x
  2. Step 2: Convert to fraction form
    11,122/24,175 = 24,175/x
  3. Step 3: Cross multiply
    11,122x = 24,175 × 24,175
  4. Step 4: Simplify right side
    11,122x = 584,430,625
  5. Step 5: Solve for x
    x = 584,430,625/11,122
  6. Step 6: Final answer
    x = 52,547.26

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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.