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Finding the Third Proportional to 19,668 and 42,618

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Solution

The third proportional to 19,668 and 42,618 is: 92,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668 : 42,618 = 42,618 : x
  2. Step 2: Convert to fraction form
    19,668/42,618 = 42,618/x
  3. Step 3: Cross multiply
    19,668x = 42,618 × 42,618
  4. Step 4: Simplify right side
    19,668x = 1,816,293,924
  5. Step 5: Solve for x
    x = 1,816,293,924/19,668
  6. Step 6: Final answer
    x = 92,347.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.