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Finding the Third Proportional to 6,578.09 and 8,534.43

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Solution

The third proportional to 6,578.09 and 8,534.43 is: 11,072.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.09 : 8,534.43 = 8,534.43 : x
  2. Step 2: Convert to fraction form
    6,578.09/8,534.43 = 8,534.43/x
  3. Step 3: Cross multiply
    6,578.09x = 8,534.43 × 8,534.43
  4. Step 4: Simplify right side
    6,578.09x = 72,836,423.42
  5. Step 5: Solve for x
    x = 72,836,423.42/6,578.09
  6. Step 6: Final answer
    x = 11,072.59

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.