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Finding the Third Proportional to 10,398 and 22,871

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Solution

The third proportional to 10,398 and 22,871 is: 50,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398 : 22,871 = 22,871 : x
  2. Step 2: Convert to fraction form
    10,398/22,871 = 22,871/x
  3. Step 3: Cross multiply
    10,398x = 22,871 × 22,871
  4. Step 4: Simplify right side
    10,398x = 523,082,641
  5. Step 5: Solve for x
    x = 523,082,641/10,398
  6. Step 6: Final answer
    x = 50,306.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.