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Finding the Third Proportional to 27,856 and 43,154

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Solution

The third proportional to 27,856 and 43,154 is: 66,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856 : 43,154 = 43,154 : x
  2. Step 2: Convert to fraction form
    27,856/43,154 = 43,154/x
  3. Step 3: Cross multiply
    27,856x = 43,154 × 43,154
  4. Step 4: Simplify right side
    27,856x = 1,862,267,716
  5. Step 5: Solve for x
    x = 1,862,267,716/27,856
  6. Step 6: Final answer
    x = 66,853.38

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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.