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Finding the Third Proportional to 27,617.06 and 43,202.81

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Solution

The third proportional to 27,617.06 and 43,202.81 is: 67,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,617.06 : 43,202.81 = 43,202.81 : x
  2. Step 2: Convert to fraction form
    27,617.06/43,202.81 = 43,202.81/x
  3. Step 3: Cross multiply
    27,617.06x = 43,202.81 × 43,202.81
  4. Step 4: Simplify right side
    27,617.06x = 1,866,483,007.91
  5. Step 5: Solve for x
    x = 1,866,483,007.91/27,617.06
  6. Step 6: Final answer
    x = 67,584.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.