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Finding the Third Proportional to 4,062.94 and 6,446.95

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Solution

The third proportional to 4,062.94 and 6,446.95 is: 10,229.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.94 : 6,446.95 = 6,446.95 : x
  2. Step 2: Convert to fraction form
    4,062.94/6,446.95 = 6,446.95/x
  3. Step 3: Cross multiply
    4,062.94x = 6,446.95 × 6,446.95
  4. Step 4: Simplify right side
    4,062.94x = 41,563,204.60
  5. Step 5: Solve for x
    x = 41,563,204.60/4,062.94
  6. Step 6: Final answer
    x = 10,229.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.