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Finding the Third Proportional to 6,782.63 and 10,166.91

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Solution

The third proportional to 6,782.63 and 10,166.91 is: 15,239.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.63 : 10,166.91 = 10,166.91 : x
  2. Step 2: Convert to fraction form
    6,782.63/10,166.91 = 10,166.91/x
  3. Step 3: Cross multiply
    6,782.63x = 10,166.91 × 10,166.91
  4. Step 4: Simplify right side
    6,782.63x = 103,365,982.70
  5. Step 5: Solve for x
    x = 103,365,982.70/6,782.63
  6. Step 6: Final answer
    x = 15,239.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.