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Finding the Third Proportional to 1,010.81 and 1,236.09

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Solution

The third proportional to 1,010.81 and 1,236.09 is: 1,511.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.81 : 1,236.09 = 1,236.09 : x
  2. Step 2: Convert to fraction form
    1,010.81/1,236.09 = 1,236.09/x
  3. Step 3: Cross multiply
    1,010.81x = 1,236.09 × 1,236.09
  4. Step 4: Simplify right side
    1,010.81x = 1,527,927.76
  5. Step 5: Solve for x
    x = 1,527,927.76/1,010.81
  6. Step 6: Final answer
    x = 1,511.58

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.