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Finding the Third Proportional to 17,743 and 26,618

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Solution

The third proportional to 17,743 and 26,618 is: 39,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,743 : 26,618 = 26,618 : x
  2. Step 2: Convert to fraction form
    17,743/26,618 = 26,618/x
  3. Step 3: Cross multiply
    17,743x = 26,618 × 26,618
  4. Step 4: Simplify right side
    17,743x = 708,517,924
  5. Step 5: Solve for x
    x = 708,517,924/17,743
  6. Step 6: Final answer
    x = 39,932.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.