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Finding the Third Proportional to 11,772 and 27,702

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Solution

The third proportional to 11,772 and 27,702 is: 65,188.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772 : 27,702 = 27,702 : x
  2. Step 2: Convert to fraction form
    11,772/27,702 = 27,702/x
  3. Step 3: Cross multiply
    11,772x = 27,702 × 27,702
  4. Step 4: Simplify right side
    11,772x = 767,400,804
  5. Step 5: Solve for x
    x = 767,400,804/11,772
  6. Step 6: Final answer
    x = 65,188.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.