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Finding the Third Proportional to 9,286.21 and 10,695.80

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Solution

The third proportional to 9,286.21 and 10,695.80 is: 12,319.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.21 : 10,695.80 = 10,695.80 : x
  2. Step 2: Convert to fraction form
    9,286.21/10,695.80 = 10,695.80/x
  3. Step 3: Cross multiply
    9,286.21x = 10,695.80 × 10,695.80
  4. Step 4: Simplify right side
    9,286.21x = 114,400,070.79
  5. Step 5: Solve for x
    x = 114,400,070.79/9,286.21
  6. Step 6: Final answer
    x = 12,319.35

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.