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Finding the Third Proportional to 6,044.91 and 9,246.23

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Solution

The third proportional to 6,044.91 and 9,246.23 is: 14,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,044.91 : 9,246.23 = 9,246.23 : x
  2. Step 2: Convert to fraction form
    6,044.91/9,246.23 = 9,246.23/x
  3. Step 3: Cross multiply
    6,044.91x = 9,246.23 × 9,246.23
  4. Step 4: Simplify right side
    6,044.91x = 85,492,850.12
  5. Step 5: Solve for x
    x = 85,492,850.12/6,044.91
  6. Step 6: Final answer
    x = 14,142.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.