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Finding the Third Proportional to 8,440 and 18,505

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Solution

The third proportional to 8,440 and 18,505 is: 40,572.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440 : 18,505 = 18,505 : x
  2. Step 2: Convert to fraction form
    8,440/18,505 = 18,505/x
  3. Step 3: Cross multiply
    8,440x = 18,505 × 18,505
  4. Step 4: Simplify right side
    8,440x = 342,435,025
  5. Step 5: Solve for x
    x = 342,435,025/8,440
  6. Step 6: Final answer
    x = 40,572.87

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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.