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Finding the Third Proportional to 8,414.88 and 18,461.75

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Solution

The third proportional to 8,414.88 and 18,461.75 is: 40,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.88 : 18,461.75 = 18,461.75 : x
  2. Step 2: Convert to fraction form
    8,414.88/18,461.75 = 18,461.75/x
  3. Step 3: Cross multiply
    8,414.88x = 18,461.75 × 18,461.75
  4. Step 4: Simplify right side
    8,414.88x = 340,836,213.06
  5. Step 5: Solve for x
    x = 340,836,213.06/8,414.88
  6. Step 6: Final answer
    x = 40,504.01

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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.