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Finding the Third Proportional to 2,193.75 and 5,170.50

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Solution

The third proportional to 2,193.75 and 5,170.50 is: 12,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.75 : 5,170.50 = 5,170.50 : x
  2. Step 2: Convert to fraction form
    2,193.75/5,170.50 = 5,170.50/x
  3. Step 3: Cross multiply
    2,193.75x = 5,170.50 × 5,170.50
  4. Step 4: Simplify right side
    2,193.75x = 26,734,070.25
  5. Step 5: Solve for x
    x = 26,734,070.25/2,193.75
  6. Step 6: Final answer
    x = 12,186.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.