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Finding the Third Proportional to 9,739 and 20,929

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Solution

The third proportional to 9,739 and 20,929 is: 44,976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739 : 20,929 = 20,929 : x
  2. Step 2: Convert to fraction form
    9,739/20,929 = 20,929/x
  3. Step 3: Cross multiply
    9,739x = 20,929 × 20,929
  4. Step 4: Simplify right side
    9,739x = 438,023,041
  5. Step 5: Solve for x
    x = 438,023,041/9,739
  6. Step 6: Final answer
    x = 44,976.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.