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Finding the Third Proportional to 2,173.50 and 3,105.84

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Solution

The third proportional to 2,173.50 and 3,105.84 is: 4,438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.50 : 3,105.84 = 3,105.84 : x
  2. Step 2: Convert to fraction form
    2,173.50/3,105.84 = 3,105.84/x
  3. Step 3: Cross multiply
    2,173.50x = 3,105.84 × 3,105.84
  4. Step 4: Simplify right side
    2,173.50x = 9,646,265.40
  5. Step 5: Solve for x
    x = 9,646,265.40/2,173.50
  6. Step 6: Final answer
    x = 4,438.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.