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Finding the Third Proportional to 7,813.13 and 11,446.31

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Solution

The third proportional to 7,813.13 and 11,446.31 is: 16,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.13 : 11,446.31 = 11,446.31 : x
  2. Step 2: Convert to fraction form
    7,813.13/11,446.31 = 11,446.31/x
  3. Step 3: Cross multiply
    7,813.13x = 11,446.31 × 11,446.31
  4. Step 4: Simplify right side
    7,813.13x = 131,018,069.85
  5. Step 5: Solve for x
    x = 131,018,069.85/7,813.13
  6. Step 6: Final answer
    x = 16,768.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.