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Finding the Third Proportional to 27,005 and 56,944

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Solution

The third proportional to 27,005 and 56,944 is: 120,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005 : 56,944 = 56,944 : x
  2. Step 2: Convert to fraction form
    27,005/56,944 = 56,944/x
  3. Step 3: Cross multiply
    27,005x = 56,944 × 56,944
  4. Step 4: Simplify right side
    27,005x = 3,242,619,136
  5. Step 5: Solve for x
    x = 3,242,619,136/27,005
  6. Step 6: Final answer
    x = 120,074.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.