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Finding the Third Proportional to 9,796 and 15,686

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Solution

The third proportional to 9,796 and 15,686 is: 25,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 15,686 = 15,686 : x
  2. Step 2: Convert to fraction form
    9,796/15,686 = 15,686/x
  3. Step 3: Cross multiply
    9,796x = 15,686 × 15,686
  4. Step 4: Simplify right side
    9,796x = 246,050,596
  5. Step 5: Solve for x
    x = 246,050,596/9,796
  6. Step 6: Final answer
    x = 25,117.46

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.