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Finding the Third Proportional to 27,818 and 57,937

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Solution

The third proportional to 27,818 and 57,937 is: 120,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818 : 57,937 = 57,937 : x
  2. Step 2: Convert to fraction form
    27,818/57,937 = 57,937/x
  3. Step 3: Cross multiply
    27,818x = 57,937 × 57,937
  4. Step 4: Simplify right side
    27,818x = 3,356,695,969
  5. Step 5: Solve for x
    x = 3,356,695,969/27,818
  6. Step 6: Final answer
    x = 120,666.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.