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Finding the Third Proportional to 4,679.44 and 6,411.66

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Solution

The third proportional to 4,679.44 and 6,411.66 is: 8,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.44 : 6,411.66 = 6,411.66 : x
  2. Step 2: Convert to fraction form
    4,679.44/6,411.66 = 6,411.66/x
  3. Step 3: Cross multiply
    4,679.44x = 6,411.66 × 6,411.66
  4. Step 4: Simplify right side
    4,679.44x = 41,109,335.87
  5. Step 5: Solve for x
    x = 41,109,335.87/4,679.44
  6. Step 6: Final answer
    x = 8,785.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.