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Finding the Third Proportional to 27,158 and 56,044

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Solution

The third proportional to 27,158 and 56,044 is: 115,653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,158 : 56,044 = 56,044 : x
  2. Step 2: Convert to fraction form
    27,158/56,044 = 56,044/x
  3. Step 3: Cross multiply
    27,158x = 56,044 × 56,044
  4. Step 4: Simplify right side
    27,158x = 3,140,929,936
  5. Step 5: Solve for x
    x = 3,140,929,936/27,158
  6. Step 6: Final answer
    x = 115,653.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.