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Finding the Third Proportional to 10,968.75 and 24,019.88

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Solution

The third proportional to 10,968.75 and 24,019.88 is: 52,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968.75 : 24,019.88 = 24,019.88 : x
  2. Step 2: Convert to fraction form
    10,968.75/24,019.88 = 24,019.88/x
  3. Step 3: Cross multiply
    10,968.75x = 24,019.88 × 24,019.88
  4. Step 4: Simplify right side
    10,968.75x = 576,954,395.02
  5. Step 5: Solve for x
    x = 576,954,395.02/10,968.75
  6. Step 6: Final answer
    x = 52,599.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.