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Finding the Third Proportional to 36,618 and 49,743

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Solution

The third proportional to 36,618 and 49,743 is: 67,572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,618 : 49,743 = 49,743 : x
  2. Step 2: Convert to fraction form
    36,618/49,743 = 49,743/x
  3. Step 3: Cross multiply
    36,618x = 49,743 × 49,743
  4. Step 4: Simplify right side
    36,618x = 2,474,366,049
  5. Step 5: Solve for x
    x = 2,474,366,049/36,618
  6. Step 6: Final answer
    x = 67,572.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.