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Finding the Third Proportional to 1,966.78 and 4,708.13

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Solution

The third proportional to 1,966.78 and 4,708.13 is: 11,270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.78 : 4,708.13 = 4,708.13 : x
  2. Step 2: Convert to fraction form
    1,966.78/4,708.13 = 4,708.13/x
  3. Step 3: Cross multiply
    1,966.78x = 4,708.13 × 4,708.13
  4. Step 4: Simplify right side
    1,966.78x = 22,166,441.02
  5. Step 5: Solve for x
    x = 22,166,441.02/1,966.78
  6. Step 6: Final answer
    x = 11,270.42

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.