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Finding the Third Proportional to 4,724.26 and 6,949.71

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Solution

The third proportional to 4,724.26 and 6,949.71 is: 10,223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.26 : 6,949.71 = 6,949.71 : x
  2. Step 2: Convert to fraction form
    4,724.26/6,949.71 = 6,949.71/x
  3. Step 3: Cross multiply
    4,724.26x = 6,949.71 × 6,949.71
  4. Step 4: Simplify right side
    4,724.26x = 48,298,400.67
  5. Step 5: Solve for x
    x = 48,298,400.67/4,724.26
  6. Step 6: Final answer
    x = 10,223.48

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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.