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Finding the Third Proportional to 6,314.72 and 9,194.44

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Solution

The third proportional to 6,314.72 and 9,194.44 is: 13,387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.72 : 9,194.44 = 9,194.44 : x
  2. Step 2: Convert to fraction form
    6,314.72/9,194.44 = 9,194.44/x
  3. Step 3: Cross multiply
    6,314.72x = 9,194.44 × 9,194.44
  4. Step 4: Simplify right side
    6,314.72x = 84,537,680.94
  5. Step 5: Solve for x
    x = 84,537,680.94/6,314.72
  6. Step 6: Final answer
    x = 13,387.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.