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Finding the Third Proportional to 23,972 and 36,292

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Solution

The third proportional to 23,972 and 36,292 is: 54,943.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,972 : 36,292 = 36,292 : x
  2. Step 2: Convert to fraction form
    23,972/36,292 = 36,292/x
  3. Step 3: Cross multiply
    23,972x = 36,292 × 36,292
  4. Step 4: Simplify right side
    23,972x = 1,317,109,264
  5. Step 5: Solve for x
    x = 1,317,109,264/23,972
  6. Step 6: Final answer
    x = 54,943.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.