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Finding the Third Proportional to 3,285 and 4,916.81

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Solution

The third proportional to 3,285 and 4,916.81 is: 7,359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285 : 4,916.81 = 4,916.81 : x
  2. Step 2: Convert to fraction form
    3,285/4,916.81 = 4,916.81/x
  3. Step 3: Cross multiply
    3,285x = 4,916.81 × 4,916.81
  4. Step 4: Simplify right side
    3,285x = 24,175,045.16
  5. Step 5: Solve for x
    x = 24,175,045.16/3,285
  6. Step 6: Final answer
    x = 7,359.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.