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Finding the Third Proportional to 19,668.50 and 42,619

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Solution

The third proportional to 19,668.50 and 42,619 is: 92,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,668.50 : 42,619 = 42,619 : x
  2. Step 2: Convert to fraction form
    19,668.50/42,619 = 42,619/x
  3. Step 3: Cross multiply
    19,668.50x = 42,619 × 42,619
  4. Step 4: Simplify right side
    19,668.50x = 1,816,379,161
  5. Step 5: Solve for x
    x = 1,816,379,161/19,668.50
  6. Step 6: Final answer
    x = 92,349.65

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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.