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Finding the Third Proportional to 9,800 and 19,840

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Solution

The third proportional to 9,800 and 19,840 is: 40,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800 : 19,840 = 19,840 : x
  2. Step 2: Convert to fraction form
    9,800/19,840 = 19,840/x
  3. Step 3: Cross multiply
    9,800x = 19,840 × 19,840
  4. Step 4: Simplify right side
    9,800x = 393,625,600
  5. Step 5: Solve for x
    x = 393,625,600/9,800
  6. Step 6: Final answer
    x = 40,165.88

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.