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Finding the Third Proportional to 27,911 and 43,326

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Solution

The third proportional to 27,911 and 43,326 is: 67,254.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911 : 43,326 = 43,326 : x
  2. Step 2: Convert to fraction form
    27,911/43,326 = 43,326/x
  3. Step 3: Cross multiply
    27,911x = 43,326 × 43,326
  4. Step 4: Simplify right side
    27,911x = 1,877,142,276
  5. Step 5: Solve for x
    x = 1,877,142,276/27,911
  6. Step 6: Final answer
    x = 67,254.57

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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.