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Finding the Third Proportional to 3,153.94 and 4,766.34

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Solution

The third proportional to 3,153.94 and 4,766.34 is: 7,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.94 : 4,766.34 = 4,766.34 : x
  2. Step 2: Convert to fraction form
    3,153.94/4,766.34 = 4,766.34/x
  3. Step 3: Cross multiply
    3,153.94x = 4,766.34 × 4,766.34
  4. Step 4: Simplify right side
    3,153.94x = 22,718,032.74
  5. Step 5: Solve for x
    x = 22,718,032.74/3,153.94
  6. Step 6: Final answer
    x = 7,203.07

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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.