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Finding the Third Proportional to 27,124 and 56,326

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Solution

The third proportional to 27,124 and 56,326 is: 116,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,124 : 56,326 = 56,326 : x
  2. Step 2: Convert to fraction form
    27,124/56,326 = 56,326/x
  3. Step 3: Cross multiply
    27,124x = 56,326 × 56,326
  4. Step 4: Simplify right side
    27,124x = 3,172,618,276
  5. Step 5: Solve for x
    x = 3,172,618,276/27,124
  6. Step 6: Final answer
    x = 116,967.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.