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Finding the Third Proportional to 6,766.45 and 9,944.65

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Solution

The third proportional to 6,766.45 and 9,944.65 is: 14,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.45 : 9,944.65 = 9,944.65 : x
  2. Step 2: Convert to fraction form
    6,766.45/9,944.65 = 9,944.65/x
  3. Step 3: Cross multiply
    6,766.45x = 9,944.65 × 9,944.65
  4. Step 4: Simplify right side
    6,766.45x = 98,896,032.55
  5. Step 5: Solve for x
    x = 98,896,032.55/6,766.45
  6. Step 6: Final answer
    x = 14,615.64

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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.