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Finding the Third Proportional to 27,704 and 59,377

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Solution

The third proportional to 27,704 and 59,377 is: 127,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704 : 59,377 = 59,377 : x
  2. Step 2: Convert to fraction form
    27,704/59,377 = 59,377/x
  3. Step 3: Cross multiply
    27,704x = 59,377 × 59,377
  4. Step 4: Simplify right side
    27,704x = 3,525,628,129
  5. Step 5: Solve for x
    x = 3,525,628,129/27,704
  6. Step 6: Final answer
    x = 127,260.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.