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Finding the Third Proportional to 24,352.13 and 33,000.19

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Solution

The third proportional to 24,352.13 and 33,000.19 is: 44,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,352.13 : 33,000.19 = 33,000.19 : x
  2. Step 2: Convert to fraction form
    24,352.13/33,000.19 = 33,000.19/x
  3. Step 3: Cross multiply
    24,352.13x = 33,000.19 × 33,000.19
  4. Step 4: Simplify right side
    24,352.13x = 1,089,012,375.04
  5. Step 5: Solve for x
    x = 1,089,012,375.04/24,352.13
  6. Step 6: Final answer
    x = 44,719.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.