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Finding the Third Proportional to 24,027 and 52,209

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Solution

The third proportional to 24,027 and 52,209 is: 113,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,027 : 52,209 = 52,209 : x
  2. Step 2: Convert to fraction form
    24,027/52,209 = 52,209/x
  3. Step 3: Cross multiply
    24,027x = 52,209 × 52,209
  4. Step 4: Simplify right side
    24,027x = 2,725,779,681
  5. Step 5: Solve for x
    x = 2,725,779,681/24,027
  6. Step 6: Final answer
    x = 113,446.53

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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.