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Finding the Third Proportional to 24,232 and 52,172

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Solution

The third proportional to 24,232 and 52,172 is: 112,327.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232 : 52,172 = 52,172 : x
  2. Step 2: Convert to fraction form
    24,232/52,172 = 52,172/x
  3. Step 3: Cross multiply
    24,232x = 52,172 × 52,172
  4. Step 4: Simplify right side
    24,232x = 2,721,917,584
  5. Step 5: Solve for x
    x = 2,721,917,584/24,232
  6. Step 6: Final answer
    x = 112,327.40

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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.