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Finding the Third Proportional to 3,760 and 5,618

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Solution

The third proportional to 3,760 and 5,618 is: 8,394.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760 : 5,618 = 5,618 : x
  2. Step 2: Convert to fraction form
    3,760/5,618 = 5,618/x
  3. Step 3: Cross multiply
    3,760x = 5,618 × 5,618
  4. Step 4: Simplify right side
    3,760x = 31,561,924
  5. Step 5: Solve for x
    x = 31,561,924/3,760
  6. Step 6: Final answer
    x = 8,394.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.