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Finding the Third Proportional to 9,726.75 and 21,227.06

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Solution

The third proportional to 9,726.75 and 21,227.06 is: 46,324.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.75 : 21,227.06 = 21,227.06 : x
  2. Step 2: Convert to fraction form
    9,726.75/21,227.06 = 21,227.06/x
  3. Step 3: Cross multiply
    9,726.75x = 21,227.06 × 21,227.06
  4. Step 4: Simplify right side
    9,726.75x = 450,588,182.38
  5. Step 5: Solve for x
    x = 450,588,182.38/9,726.75
  6. Step 6: Final answer
    x = 46,324.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.