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Finding the Third Proportional to 5,618 and 13,517

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Solution

The third proportional to 5,618 and 13,517 is: 32,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,618 : 13,517 = 13,517 : x
  2. Step 2: Convert to fraction form
    5,618/13,517 = 13,517/x
  3. Step 3: Cross multiply
    5,618x = 13,517 × 13,517
  4. Step 4: Simplify right side
    5,618x = 182,709,289
  5. Step 5: Solve for x
    x = 182,709,289/5,618
  6. Step 6: Final answer
    x = 32,522.12

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.