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Finding the Third Proportional to 3,254.87 and 4,664.46

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Solution

The third proportional to 3,254.87 and 4,664.46 is: 6,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.87 : 4,664.46 = 4,664.46 : x
  2. Step 2: Convert to fraction form
    3,254.87/4,664.46 = 4,664.46/x
  3. Step 3: Cross multiply
    3,254.87x = 4,664.46 × 4,664.46
  4. Step 4: Simplify right side
    3,254.87x = 21,757,195.84
  5. Step 5: Solve for x
    x = 21,757,195.84/3,254.87
  6. Step 6: Final answer
    x = 6,684.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.