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Finding the Third Proportional to 11,076 and 16,398

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Solution

The third proportional to 11,076 and 16,398 is: 24,277.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076 : 16,398 = 16,398 : x
  2. Step 2: Convert to fraction form
    11,076/16,398 = 16,398/x
  3. Step 3: Cross multiply
    11,076x = 16,398 × 16,398
  4. Step 4: Simplify right side
    11,076x = 268,894,404
  5. Step 5: Solve for x
    x = 268,894,404/11,076
  6. Step 6: Final answer
    x = 24,277.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.