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Finding the Third Proportional to 5,102 and 10,817

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Solution

The third proportional to 5,102 and 10,817 is: 22,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102 : 10,817 = 10,817 : x
  2. Step 2: Convert to fraction form
    5,102/10,817 = 10,817/x
  3. Step 3: Cross multiply
    5,102x = 10,817 × 10,817
  4. Step 4: Simplify right side
    5,102x = 117,007,489
  5. Step 5: Solve for x
    x = 117,007,489/5,102
  6. Step 6: Final answer
    x = 22,933.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.