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Finding the Third Proportional to 27,004 and 56,942

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Solution

The third proportional to 27,004 and 56,942 is: 120,070.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004 : 56,942 = 56,942 : x
  2. Step 2: Convert to fraction form
    27,004/56,942 = 56,942/x
  3. Step 3: Cross multiply
    27,004x = 56,942 × 56,942
  4. Step 4: Simplify right side
    27,004x = 3,242,391,364
  5. Step 5: Solve for x
    x = 3,242,391,364/27,004
  6. Step 6: Final answer
    x = 120,070.78

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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.