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Finding the Third Proportional to 24,259 and 52,063

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Solution

The third proportional to 24,259 and 52,063 is: 111,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,259 : 52,063 = 52,063 : x
  2. Step 2: Convert to fraction form
    24,259/52,063 = 52,063/x
  3. Step 3: Cross multiply
    24,259x = 52,063 × 52,063
  4. Step 4: Simplify right side
    24,259x = 2,710,555,969
  5. Step 5: Solve for x
    x = 2,710,555,969/24,259
  6. Step 6: Final answer
    x = 111,734.04

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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.