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Finding the Third Proportional to 27,086 and 43,253

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Solution

The third proportional to 27,086 and 43,253 is: 69,069.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,086 : 43,253 = 43,253 : x
  2. Step 2: Convert to fraction form
    27,086/43,253 = 43,253/x
  3. Step 3: Cross multiply
    27,086x = 43,253 × 43,253
  4. Step 4: Simplify right side
    27,086x = 1,870,822,009
  5. Step 5: Solve for x
    x = 1,870,822,009/27,086
  6. Step 6: Final answer
    x = 69,069.70

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.