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Finding the Third Proportional to 27,458 and 56,214

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Solution

The third proportional to 27,458 and 56,214 is: 115,085.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458 : 56,214 = 56,214 : x
  2. Step 2: Convert to fraction form
    27,458/56,214 = 56,214/x
  3. Step 3: Cross multiply
    27,458x = 56,214 × 56,214
  4. Step 4: Simplify right side
    27,458x = 3,160,013,796
  5. Step 5: Solve for x
    x = 3,160,013,796/27,458
  6. Step 6: Final answer
    x = 115,085.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.