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Finding the Third Proportional to 1,010.34 and 2,179.97

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Solution

The third proportional to 1,010.34 and 2,179.97 is: 4,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.34 : 2,179.97 = 2,179.97 : x
  2. Step 2: Convert to fraction form
    1,010.34/2,179.97 = 2,179.97/x
  3. Step 3: Cross multiply
    1,010.34x = 2,179.97 × 2,179.97
  4. Step 4: Simplify right side
    1,010.34x = 4,752,263.75
  5. Step 5: Solve for x
    x = 4,752,263.75/1,010.34
  6. Step 6: Final answer
    x = 4,703.61

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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.