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Finding the Third Proportional to 2,179.97 and 4,705.31

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Solution

The third proportional to 2,179.97 and 4,705.31 is: 10,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.97 : 4,705.31 = 4,705.31 : x
  2. Step 2: Convert to fraction form
    2,179.97/4,705.31 = 4,705.31/x
  3. Step 3: Cross multiply
    2,179.97x = 4,705.31 × 4,705.31
  4. Step 4: Simplify right side
    2,179.97x = 22,139,965.72
  5. Step 5: Solve for x
    x = 22,139,965.72/2,179.97
  6. Step 6: Final answer
    x = 10,156.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.