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Finding the Third Proportional to 3,506.75 and 5,269.13

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Solution

The third proportional to 3,506.75 and 5,269.13 is: 7,917.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.75 : 5,269.13 = 5,269.13 : x
  2. Step 2: Convert to fraction form
    3,506.75/5,269.13 = 5,269.13/x
  3. Step 3: Cross multiply
    3,506.75x = 5,269.13 × 5,269.13
  4. Step 4: Simplify right side
    3,506.75x = 27,763,678.27
  5. Step 5: Solve for x
    x = 27,763,678.27/3,506.75
  6. Step 6: Final answer
    x = 7,917.21

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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.