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Finding the Third Proportional to 1,966.88 and 4,024.50

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Solution

The third proportional to 1,966.88 and 4,024.50 is: 8,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.88 : 4,024.50 = 4,024.50 : x
  2. Step 2: Convert to fraction form
    1,966.88/4,024.50 = 4,024.50/x
  3. Step 3: Cross multiply
    1,966.88x = 4,024.50 × 4,024.50
  4. Step 4: Simplify right side
    1,966.88x = 16,196,600.25
  5. Step 5: Solve for x
    x = 16,196,600.25/1,966.88
  6. Step 6: Final answer
    x = 8,234.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.