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Finding the Third Proportional to 13,618.13 and 30,845.81

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Solution

The third proportional to 13,618.13 and 30,845.81 is: 69,867.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.13 : 30,845.81 = 30,845.81 : x
  2. Step 2: Convert to fraction form
    13,618.13/30,845.81 = 30,845.81/x
  3. Step 3: Cross multiply
    13,618.13x = 30,845.81 × 30,845.81
  4. Step 4: Simplify right side
    13,618.13x = 951,464,148.79
  5. Step 5: Solve for x
    x = 951,464,148.79/13,618.13
  6. Step 6: Final answer
    x = 69,867.49

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.