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Finding the Third Proportional to 33,697.69 and 49,452.19

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Solution

The third proportional to 33,697.69 and 49,452.19 is: 72,572.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,697.69 : 49,452.19 = 49,452.19 : x
  2. Step 2: Convert to fraction form
    33,697.69/49,452.19 = 49,452.19/x
  3. Step 3: Cross multiply
    33,697.69x = 49,452.19 × 49,452.19
  4. Step 4: Simplify right side
    33,697.69x = 2,445,518,848.54
  5. Step 5: Solve for x
    x = 2,445,518,848.54/33,697.69
  6. Step 6: Final answer
    x = 72,572.30

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.