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Finding the Third Proportional to 24,231 and 52,281

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Solution

The third proportional to 24,231 and 52,281 is: 112,801.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,231 : 52,281 = 52,281 : x
  2. Step 2: Convert to fraction form
    24,231/52,281 = 52,281/x
  3. Step 3: Cross multiply
    24,231x = 52,281 × 52,281
  4. Step 4: Simplify right side
    24,231x = 2,733,302,961
  5. Step 5: Solve for x
    x = 2,733,302,961/24,231
  6. Step 6: Final answer
    x = 112,801.91

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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.