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Finding the Third Proportional to 3,991.70 and 8,530.15

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Solution

The third proportional to 3,991.70 and 8,530.15 is: 18,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.70 : 8,530.15 = 8,530.15 : x
  2. Step 2: Convert to fraction form
    3,991.70/8,530.15 = 8,530.15/x
  3. Step 3: Cross multiply
    3,991.70x = 8,530.15 × 8,530.15
  4. Step 4: Simplify right side
    3,991.70x = 72,763,532.33
  5. Step 5: Solve for x
    x = 72,763,532.33/3,991.70
  6. Step 6: Final answer
    x = 18,228.70

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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.