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Finding the Third Proportional to 19,451.50 and 42,668

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Solution

The third proportional to 19,451.50 and 42,668 is: 93,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,451.50 : 42,668 = 42,668 : x
  2. Step 2: Convert to fraction form
    19,451.50/42,668 = 42,668/x
  3. Step 3: Cross multiply
    19,451.50x = 42,668 × 42,668
  4. Step 4: Simplify right side
    19,451.50x = 1,820,558,224
  5. Step 5: Solve for x
    x = 1,820,558,224/19,451.50
  6. Step 6: Final answer
    x = 93,594.75

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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.