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Finding the Third Proportional to 33,464.81 and 48,098.81

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Solution

The third proportional to 33,464.81 and 48,098.81 is: 69,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464.81 : 48,098.81 = 48,098.81 : x
  2. Step 2: Convert to fraction form
    33,464.81/48,098.81 = 48,098.81/x
  3. Step 3: Cross multiply
    33,464.81x = 48,098.81 × 48,098.81
  4. Step 4: Simplify right side
    33,464.81x = 2,313,495,763.91
  5. Step 5: Solve for x
    x = 2,313,495,763.91/33,464.81
  6. Step 6: Final answer
    x = 69,132.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.