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Finding the Third Proportional to 15,686.16 and 21,940.24

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Solution

The third proportional to 15,686.16 and 21,940.24 is: 30,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.16 : 21,940.24 = 21,940.24 : x
  2. Step 2: Convert to fraction form
    15,686.16/21,940.24 = 21,940.24/x
  3. Step 3: Cross multiply
    15,686.16x = 21,940.24 × 21,940.24
  4. Step 4: Simplify right side
    15,686.16x = 481,374,227.25
  5. Step 5: Solve for x
    x = 481,374,227.25/15,686.16
  6. Step 6: Final answer
    x = 30,687.84

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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.