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Finding the Third Proportional to 8,144.30 and 10,695.80

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Solution

The third proportional to 8,144.30 and 10,695.80 is: 14,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.30 : 10,695.80 = 10,695.80 : x
  2. Step 2: Convert to fraction form
    8,144.30/10,695.80 = 10,695.80/x
  3. Step 3: Cross multiply
    8,144.30x = 10,695.80 × 10,695.80
  4. Step 4: Simplify right side
    8,144.30x = 114,400,070.79
  5. Step 5: Solve for x
    x = 114,400,070.79/8,144.30
  6. Step 6: Final answer
    x = 14,046.65

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.