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Finding the Third Proportional to 6,411.66 and 9,593.44

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Solution

The third proportional to 6,411.66 and 9,593.44 is: 14,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.66 : 9,593.44 = 9,593.44 : x
  2. Step 2: Convert to fraction form
    6,411.66/9,593.44 = 9,593.44/x
  3. Step 3: Cross multiply
    6,411.66x = 9,593.44 × 9,593.44
  4. Step 4: Simplify right side
    6,411.66x = 92,034,043.07
  5. Step 5: Solve for x
    x = 92,034,043.07/6,411.66
  6. Step 6: Final answer
    x = 14,354.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.