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Finding the Third Proportional to 1,966.78 and 4,560.05

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Solution

The third proportional to 1,966.78 and 4,560.05 is: 10,572.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.78 : 4,560.05 = 4,560.05 : x
  2. Step 2: Convert to fraction form
    1,966.78/4,560.05 = 4,560.05/x
  3. Step 3: Cross multiply
    1,966.78x = 4,560.05 × 4,560.05
  4. Step 4: Simplify right side
    1,966.78x = 20,794,027.50
  5. Step 5: Solve for x
    x = 20,794,027.50/1,966.78
  6. Step 6: Final answer
    x = 10,572.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.