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Finding the Third Proportional to 11,616 and 27,700

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Solution

The third proportional to 11,616 and 27,700 is: 66,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616 : 27,700 = 27,700 : x
  2. Step 2: Convert to fraction form
    11,616/27,700 = 27,700/x
  3. Step 3: Cross multiply
    11,616x = 27,700 × 27,700
  4. Step 4: Simplify right side
    11,616x = 767,290,000
  5. Step 5: Solve for x
    x = 767,290,000/11,616
  6. Step 6: Final answer
    x = 66,054.58

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.