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Finding the Third Proportional to 27,818 and 43,077

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Solution

The third proportional to 27,818 and 43,077 is: 66,706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818 : 43,077 = 43,077 : x
  2. Step 2: Convert to fraction form
    27,818/43,077 = 43,077/x
  3. Step 3: Cross multiply
    27,818x = 43,077 × 43,077
  4. Step 4: Simplify right side
    27,818x = 1,855,627,929
  5. Step 5: Solve for x
    x = 1,855,627,929/27,818
  6. Step 6: Final answer
    x = 66,706.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.