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Finding the Third Proportional to 9,772 and 15,868

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Solution

The third proportional to 9,772 and 15,868 is: 25,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772 : 15,868 = 15,868 : x
  2. Step 2: Convert to fraction form
    9,772/15,868 = 15,868/x
  3. Step 3: Cross multiply
    9,772x = 15,868 × 15,868
  4. Step 4: Simplify right side
    9,772x = 251,793,424
  5. Step 5: Solve for x
    x = 251,793,424/9,772
  6. Step 6: Final answer
    x = 25,766.83

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.