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Finding the Third Proportional to 1,010.81 and 2,343.66

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Solution

The third proportional to 1,010.81 and 2,343.66 is: 5,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.81 : 2,343.66 = 2,343.66 : x
  2. Step 2: Convert to fraction form
    1,010.81/2,343.66 = 2,343.66/x
  3. Step 3: Cross multiply
    1,010.81x = 2,343.66 × 2,343.66
  4. Step 4: Simplify right side
    1,010.81x = 5,492,724.62
  5. Step 5: Solve for x
    x = 5,492,724.62/1,010.81
  6. Step 6: Final answer
    x = 5,433.97

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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.