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Finding the Third Proportional to 6,604.88 and 9,056.81

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Solution

The third proportional to 6,604.88 and 9,056.81 is: 12,418.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.88 : 9,056.81 = 9,056.81 : x
  2. Step 2: Convert to fraction form
    6,604.88/9,056.81 = 9,056.81/x
  3. Step 3: Cross multiply
    6,604.88x = 9,056.81 × 9,056.81
  4. Step 4: Simplify right side
    6,604.88x = 82,025,852.66
  5. Step 5: Solve for x
    x = 82,025,852.66/6,604.88
  6. Step 6: Final answer
    x = 12,418.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.