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Finding the Third Proportional to 27,772 and 43,356

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Solution

The third proportional to 27,772 and 43,356 is: 67,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772 : 43,356 = 43,356 : x
  2. Step 2: Convert to fraction form
    27,772/43,356 = 43,356/x
  3. Step 3: Cross multiply
    27,772x = 43,356 × 43,356
  4. Step 4: Simplify right side
    27,772x = 1,879,742,736
  5. Step 5: Solve for x
    x = 1,879,742,736/27,772
  6. Step 6: Final answer
    x = 67,684.82

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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.