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Finding the Third Proportional to 4,252 and 8,618

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Solution

The third proportional to 4,252 and 8,618 is: 17,467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252 : 8,618 = 8,618 : x
  2. Step 2: Convert to fraction form
    4,252/8,618 = 8,618/x
  3. Step 3: Cross multiply
    4,252x = 8,618 × 8,618
  4. Step 4: Simplify right side
    4,252x = 74,269,924
  5. Step 5: Solve for x
    x = 74,269,924/4,252
  6. Step 6: Final answer
    x = 17,467.06

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.