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Finding the Third Proportional to 4,717 and 10,253

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Solution

The third proportional to 4,717 and 10,253 is: 22,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717 : 10,253 = 10,253 : x
  2. Step 2: Convert to fraction form
    4,717/10,253 = 10,253/x
  3. Step 3: Cross multiply
    4,717x = 10,253 × 10,253
  4. Step 4: Simplify right side
    4,717x = 105,124,009
  5. Step 5: Solve for x
    x = 105,124,009/4,717
  6. Step 6: Final answer
    x = 22,286.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.