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Finding the Third Proportional to 4,142.69 and 6,274.31

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Solution

The third proportional to 4,142.69 and 6,274.31 is: 9,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.69 : 6,274.31 = 6,274.31 : x
  2. Step 2: Convert to fraction form
    4,142.69/6,274.31 = 6,274.31/x
  3. Step 3: Cross multiply
    4,142.69x = 6,274.31 × 6,274.31
  4. Step 4: Simplify right side
    4,142.69x = 39,366,997.35
  5. Step 5: Solve for x
    x = 39,366,997.35/4,142.69
  6. Step 6: Final answer
    x = 9,502.77

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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.