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Finding the Third Proportional to 15,306.75 and 21,665.25

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Solution

The third proportional to 15,306.75 and 21,665.25 is: 30,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306.75 : 21,665.25 = 21,665.25 : x
  2. Step 2: Convert to fraction form
    15,306.75/21,665.25 = 21,665.25/x
  3. Step 3: Cross multiply
    15,306.75x = 21,665.25 × 21,665.25
  4. Step 4: Simplify right side
    15,306.75x = 469,383,057.56
  5. Step 5: Solve for x
    x = 469,383,057.56/15,306.75
  6. Step 6: Final answer
    x = 30,665.10

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.