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Finding the Third Proportional to 23,482 and 52,214

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Solution

The third proportional to 23,482 and 52,214 is: 116,101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482 : 52,214 = 52,214 : x
  2. Step 2: Convert to fraction form
    23,482/52,214 = 52,214/x
  3. Step 3: Cross multiply
    23,482x = 52,214 × 52,214
  4. Step 4: Simplify right side
    23,482x = 2,726,301,796
  5. Step 5: Solve for x
    x = 2,726,301,796/23,482
  6. Step 6: Final answer
    x = 116,101.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.