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Finding the Third Proportional to 3,324.66 and 5,155.03

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Solution

The third proportional to 3,324.66 and 5,155.03 is: 7,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324.66 : 5,155.03 = 5,155.03 : x
  2. Step 2: Convert to fraction form
    3,324.66/5,155.03 = 5,155.03/x
  3. Step 3: Cross multiply
    3,324.66x = 5,155.03 × 5,155.03
  4. Step 4: Simplify right side
    3,324.66x = 26,574,347.19
  5. Step 5: Solve for x
    x = 26,574,347.19/3,324.66
  6. Step 6: Final answer
    x = 7,993.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.