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Finding the Third Proportional to 9,808 and 19,124

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Solution

The third proportional to 9,808 and 19,124 is: 37,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808 : 19,124 = 19,124 : x
  2. Step 2: Convert to fraction form
    9,808/19,124 = 19,124/x
  3. Step 3: Cross multiply
    9,808x = 19,124 × 19,124
  4. Step 4: Simplify right side
    9,808x = 365,727,376
  5. Step 5: Solve for x
    x = 365,727,376/9,808
  6. Step 6: Final answer
    x = 37,288.68

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.