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Finding the Third Proportional to 5,225 and 6,618

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Solution

The third proportional to 5,225 and 6,618 is: 8,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225 : 6,618 = 6,618 : x
  2. Step 2: Convert to fraction form
    5,225/6,618 = 6,618/x
  3. Step 3: Cross multiply
    5,225x = 6,618 × 6,618
  4. Step 4: Simplify right side
    5,225x = 43,797,924
  5. Step 5: Solve for x
    x = 43,797,924/5,225
  6. Step 6: Final answer
    x = 8,382.38

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.