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Finding the Third Proportional to 11,117 and 16,957

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Solution

The third proportional to 11,117 and 16,957 is: 25,864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117 : 16,957 = 16,957 : x
  2. Step 2: Convert to fraction form
    11,117/16,957 = 16,957/x
  3. Step 3: Cross multiply
    11,117x = 16,957 × 16,957
  4. Step 4: Simplify right side
    11,117x = 287,539,849
  5. Step 5: Solve for x
    x = 287,539,849/11,117
  6. Step 6: Final answer
    x = 25,864.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.