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Finding the Third Proportional to 5,962 and 13,618

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Solution

The third proportional to 5,962 and 13,618 is: 31,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962 : 13,618 = 13,618 : x
  2. Step 2: Convert to fraction form
    5,962/13,618 = 13,618/x
  3. Step 3: Cross multiply
    5,962x = 13,618 × 13,618
  4. Step 4: Simplify right side
    5,962x = 185,449,924
  5. Step 5: Solve for x
    x = 185,449,924/5,962
  6. Step 6: Final answer
    x = 31,105.32

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.