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Finding the Third Proportional to 9,086 and 13,618

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Solution

The third proportional to 9,086 and 13,618 is: 20,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086 : 13,618 = 13,618 : x
  2. Step 2: Convert to fraction form
    9,086/13,618 = 13,618/x
  3. Step 3: Cross multiply
    9,086x = 13,618 × 13,618
  4. Step 4: Simplify right side
    9,086x = 185,449,924
  5. Step 5: Solve for x
    x = 185,449,924/9,086
  6. Step 6: Final answer
    x = 20,410.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.