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Finding the Third Proportional to 9,996 and 15,019.88

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Solution

The third proportional to 9,996 and 15,019.88 is: 22,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996 : 15,019.88 = 15,019.88 : x
  2. Step 2: Convert to fraction form
    9,996/15,019.88 = 15,019.88/x
  3. Step 3: Cross multiply
    9,996x = 15,019.88 × 15,019.88
  4. Step 4: Simplify right side
    9,996x = 225,596,645.02
  5. Step 5: Solve for x
    x = 225,596,645.02/9,996
  6. Step 6: Final answer
    x = 22,568.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.