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Finding the Third Proportional to 4,717 and 10,164

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Solution

The third proportional to 4,717 and 10,164 is: 21,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717 : 10,164 = 10,164 : x
  2. Step 2: Convert to fraction form
    4,717/10,164 = 10,164/x
  3. Step 3: Cross multiply
    4,717x = 10,164 × 10,164
  4. Step 4: Simplify right side
    4,717x = 103,306,896
  5. Step 5: Solve for x
    x = 103,306,896/4,717
  6. Step 6: Final answer
    x = 21,900.97

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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.