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Finding the Third Proportional to 15,945.75 and 22,304.25

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Solution

The third proportional to 15,945.75 and 22,304.25 is: 31,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,945.75 : 22,304.25 = 22,304.25 : x
  2. Step 2: Convert to fraction form
    15,945.75/22,304.25 = 22,304.25/x
  3. Step 3: Cross multiply
    15,945.75x = 22,304.25 × 22,304.25
  4. Step 4: Simplify right side
    15,945.75x = 497,479,568.06
  5. Step 5: Solve for x
    x = 497,479,568.06/15,945.75
  6. Step 6: Final answer
    x = 31,198.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.