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Finding the Third Proportional to 9,775 and 19,061

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Solution

The third proportional to 9,775 and 19,061 is: 37,168.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775 : 19,061 = 19,061 : x
  2. Step 2: Convert to fraction form
    9,775/19,061 = 19,061/x
  3. Step 3: Cross multiply
    9,775x = 19,061 × 19,061
  4. Step 4: Simplify right side
    9,775x = 363,321,721
  5. Step 5: Solve for x
    x = 363,321,721/9,775
  6. Step 6: Final answer
    x = 37,168.46

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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.