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Finding the Third Proportional to 11,523 and 16,657

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Solution

The third proportional to 11,523 and 16,657 is: 24,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523 : 16,657 = 16,657 : x
  2. Step 2: Convert to fraction form
    11,523/16,657 = 16,657/x
  3. Step 3: Cross multiply
    11,523x = 16,657 × 16,657
  4. Step 4: Simplify right side
    11,523x = 277,455,649
  5. Step 5: Solve for x
    x = 277,455,649/11,523
  6. Step 6: Final answer
    x = 24,078.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.