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Finding the Third Proportional to 2,173 and 3,462.50

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Solution

The third proportional to 2,173 and 3,462.50 is: 5,517.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173 : 3,462.50 = 3,462.50 : x
  2. Step 2: Convert to fraction form
    2,173/3,462.50 = 3,462.50/x
  3. Step 3: Cross multiply
    2,173x = 3,462.50 × 3,462.50
  4. Step 4: Simplify right side
    2,173x = 11,988,906.25
  5. Step 5: Solve for x
    x = 11,988,906.25/2,173
  6. Step 6: Final answer
    x = 5,517.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.