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Finding the Third Proportional to 24,414 and 52,284

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Solution

The third proportional to 24,414 and 52,284 is: 111,969.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414 : 52,284 = 52,284 : x
  2. Step 2: Convert to fraction form
    24,414/52,284 = 52,284/x
  3. Step 3: Cross multiply
    24,414x = 52,284 × 52,284
  4. Step 4: Simplify right side
    24,414x = 2,733,616,656
  5. Step 5: Solve for x
    x = 2,733,616,656/24,414
  6. Step 6: Final answer
    x = 111,969.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.