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Finding the Third Proportional to 27,004 and 56,738

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Solution

The third proportional to 27,004 and 56,738 is: 119,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004 : 56,738 = 56,738 : x
  2. Step 2: Convert to fraction form
    27,004/56,738 = 56,738/x
  3. Step 3: Cross multiply
    27,004x = 56,738 × 56,738
  4. Step 4: Simplify right side
    27,004x = 3,219,200,644
  5. Step 5: Solve for x
    x = 3,219,200,644/27,004
  6. Step 6: Final answer
    x = 119,211.99

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.