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Finding the Third Proportional to 27,243 and 56,982

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Solution

The third proportional to 27,243 and 56,982 is: 119,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243 : 56,982 = 56,982 : x
  2. Step 2: Convert to fraction form
    27,243/56,982 = 56,982/x
  3. Step 3: Cross multiply
    27,243x = 56,982 × 56,982
  4. Step 4: Simplify right side
    27,243x = 3,246,948,324
  5. Step 5: Solve for x
    x = 3,246,948,324/27,243
  6. Step 6: Final answer
    x = 119,184.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.