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Finding the Third Proportional to 24,239 and 52,297

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Solution

The third proportional to 24,239 and 52,297 is: 112,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,239 : 52,297 = 52,297 : x
  2. Step 2: Convert to fraction form
    24,239/52,297 = 52,297/x
  3. Step 3: Cross multiply
    24,239x = 52,297 × 52,297
  4. Step 4: Simplify right side
    24,239x = 2,734,976,209
  5. Step 5: Solve for x
    x = 2,734,976,209/24,239
  6. Step 6: Final answer
    x = 112,833.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.