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Finding the Third Proportional to 24,252 and 52,196

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Solution

The third proportional to 24,252 and 52,196 is: 112,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,252 : 52,196 = 52,196 : x
  2. Step 2: Convert to fraction form
    24,252/52,196 = 52,196/x
  3. Step 3: Cross multiply
    24,252x = 52,196 × 52,196
  4. Step 4: Simplify right side
    24,252x = 2,724,422,416
  5. Step 5: Solve for x
    x = 2,724,422,416/24,252
  6. Step 6: Final answer
    x = 112,338.05

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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.