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Finding the Third Proportional to 5,766 and 12,618

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Solution

The third proportional to 5,766 and 12,618 is: 27,612.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766 : 12,618 = 12,618 : x
  2. Step 2: Convert to fraction form
    5,766/12,618 = 12,618/x
  3. Step 3: Cross multiply
    5,766x = 12,618 × 12,618
  4. Step 4: Simplify right side
    5,766x = 159,213,924
  5. Step 5: Solve for x
    x = 159,213,924/5,766
  6. Step 6: Final answer
    x = 27,612.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.