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Finding the Third Proportional to 8,441.72 and 18,508.50

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Solution

The third proportional to 8,441.72 and 18,508.50 is: 40,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,441.72 : 18,508.50 = 18,508.50 : x
  2. Step 2: Convert to fraction form
    8,441.72/18,508.50 = 18,508.50/x
  3. Step 3: Cross multiply
    8,441.72x = 18,508.50 × 18,508.50
  4. Step 4: Simplify right side
    8,441.72x = 342,564,572.25
  5. Step 5: Solve for x
    x = 342,564,572.25/8,441.72
  6. Step 6: Final answer
    x = 40,579.96

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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.