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Finding the Third Proportional to 3,506.75 and 7,499.75

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Solution

The third proportional to 3,506.75 and 7,499.75 is: 16,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.75 : 7,499.75 = 7,499.75 : x
  2. Step 2: Convert to fraction form
    3,506.75/7,499.75 = 7,499.75/x
  3. Step 3: Cross multiply
    3,506.75x = 7,499.75 × 7,499.75
  4. Step 4: Simplify right side
    3,506.75x = 56,246,250.06
  5. Step 5: Solve for x
    x = 56,246,250.06/3,506.75
  6. Step 6: Final answer
    x = 16,039.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.