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Finding the Third Proportional to 27,508 and 40,086

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Solution

The third proportional to 27,508 and 40,086 is: 58,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,508 : 40,086 = 40,086 : x
  2. Step 2: Convert to fraction form
    27,508/40,086 = 40,086/x
  3. Step 3: Cross multiply
    27,508x = 40,086 × 40,086
  4. Step 4: Simplify right side
    27,508x = 1,606,887,396
  5. Step 5: Solve for x
    x = 1,606,887,396/27,508
  6. Step 6: Final answer
    x = 58,415.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.