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Finding the Third Proportional to 33,837.75 and 48,098.81

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Solution

The third proportional to 33,837.75 and 48,098.81 is: 68,370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,837.75 : 48,098.81 = 48,098.81 : x
  2. Step 2: Convert to fraction form
    33,837.75/48,098.81 = 48,098.81/x
  3. Step 3: Cross multiply
    33,837.75x = 48,098.81 × 48,098.81
  4. Step 4: Simplify right side
    33,837.75x = 2,313,495,763.91
  5. Step 5: Solve for x
    x = 2,313,495,763.91/33,837.75
  6. Step 6: Final answer
    x = 68,370.26

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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.