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Finding the Third Proportional to 18,673 and 40,842.25

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Solution

The third proportional to 18,673 and 40,842.25 is: 89,331.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,673 : 40,842.25 = 40,842.25 : x
  2. Step 2: Convert to fraction form
    18,673/40,842.25 = 40,842.25/x
  3. Step 3: Cross multiply
    18,673x = 40,842.25 × 40,842.25
  4. Step 4: Simplify right side
    18,673x = 1,668,089,385.06
  5. Step 5: Solve for x
    x = 1,668,089,385.06/18,673
  6. Step 6: Final answer
    x = 89,331.62

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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.