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Finding the Third Proportional to 4,254.40 and 6,355.97

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Solution

The third proportional to 4,254.40 and 6,355.97 is: 9,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.40 : 6,355.97 = 6,355.97 : x
  2. Step 2: Convert to fraction form
    4,254.40/6,355.97 = 6,355.97/x
  3. Step 3: Cross multiply
    4,254.40x = 6,355.97 × 6,355.97
  4. Step 4: Simplify right side
    4,254.40x = 40,398,338.75
  5. Step 5: Solve for x
    x = 40,398,338.75/4,254.40
  6. Step 6: Final answer
    x = 9,495.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.