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Finding the Third Proportional to 10,824 and 23,292

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Solution

The third proportional to 10,824 and 23,292 is: 50,121.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824 : 23,292 = 23,292 : x
  2. Step 2: Convert to fraction form
    10,824/23,292 = 23,292/x
  3. Step 3: Cross multiply
    10,824x = 23,292 × 23,292
  4. Step 4: Simplify right side
    10,824x = 542,517,264
  5. Step 5: Solve for x
    x = 542,517,264/10,824
  6. Step 6: Final answer
    x = 50,121.70

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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.