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Finding the Third Proportional to 21,726.75 and 31,884.75

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Solution

The third proportional to 21,726.75 and 31,884.75 is: 46,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726.75 : 31,884.75 = 31,884.75 : x
  2. Step 2: Convert to fraction form
    21,726.75/31,884.75 = 31,884.75/x
  3. Step 3: Cross multiply
    21,726.75x = 31,884.75 × 31,884.75
  4. Step 4: Simplify right side
    21,726.75x = 1,016,637,282.56
  5. Step 5: Solve for x
    x = 1,016,637,282.56/21,726.75
  6. Step 6: Final answer
    x = 46,791.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.