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Finding the Third Proportional to 2,840 and 3,618

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Solution

The third proportional to 2,840 and 3,618 is: 4,609.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840 : 3,618 = 3,618 : x
  2. Step 2: Convert to fraction form
    2,840/3,618 = 3,618/x
  3. Step 3: Cross multiply
    2,840x = 3,618 × 3,618
  4. Step 4: Simplify right side
    2,840x = 13,089,924
  5. Step 5: Solve for x
    x = 13,089,924/2,840
  6. Step 6: Final answer
    x = 4,609.13

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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.