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Finding the Third Proportional to 9,774 and 21,067.88

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Solution

The third proportional to 9,774 and 21,067.88 is: 45,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 21,067.88 = 21,067.88 : x
  2. Step 2: Convert to fraction form
    9,774/21,067.88 = 21,067.88/x
  3. Step 3: Cross multiply
    9,774x = 21,067.88 × 21,067.88
  4. Step 4: Simplify right side
    9,774x = 443,855,357.02
  5. Step 5: Solve for x
    x = 443,855,357.02/9,774
  6. Step 6: Final answer
    x = 45,411.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.