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Finding the Third Proportional to 9,682 and 15,970

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Solution

The third proportional to 9,682 and 15,970 is: 26,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682 : 15,970 = 15,970 : x
  2. Step 2: Convert to fraction form
    9,682/15,970 = 15,970/x
  3. Step 3: Cross multiply
    9,682x = 15,970 × 15,970
  4. Step 4: Simplify right side
    9,682x = 255,040,900
  5. Step 5: Solve for x
    x = 255,040,900/9,682
  6. Step 6: Final answer
    x = 26,341.76

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.