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Finding the Third Proportional to 4,710.66 and 7,126.73

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Solution

The third proportional to 4,710.66 and 7,126.73 is: 10,782.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.66 : 7,126.73 = 7,126.73 : x
  2. Step 2: Convert to fraction form
    4,710.66/7,126.73 = 7,126.73/x
  3. Step 3: Cross multiply
    4,710.66x = 7,126.73 × 7,126.73
  4. Step 4: Simplify right side
    4,710.66x = 50,790,342.85
  5. Step 5: Solve for x
    x = 50,790,342.85/4,710.66
  6. Step 6: Final answer
    x = 10,782.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.