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Finding the Third Proportional to 8,604.56 and 9,414.56

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Solution

The third proportional to 8,604.56 and 9,414.56 is: 10,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.56 : 9,414.56 = 9,414.56 : x
  2. Step 2: Convert to fraction form
    8,604.56/9,414.56 = 9,414.56/x
  3. Step 3: Cross multiply
    8,604.56x = 9,414.56 × 9,414.56
  4. Step 4: Simplify right side
    8,604.56x = 88,633,987.07
  5. Step 5: Solve for x
    x = 88,633,987.07/8,604.56
  6. Step 6: Final answer
    x = 10,300.81

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.