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Finding the Third Proportional to 1,010.44 and 1,364.44

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Solution

The third proportional to 1,010.44 and 1,364.44 is: 1,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.44 : 1,364.44 = 1,364.44 : x
  2. Step 2: Convert to fraction form
    1,010.44/1,364.44 = 1,364.44/x
  3. Step 3: Cross multiply
    1,010.44x = 1,364.44 × 1,364.44
  4. Step 4: Simplify right side
    1,010.44x = 1,861,689.69
  5. Step 5: Solve for x
    x = 1,861,689.69/1,010.44
  6. Step 6: Final answer
    x = 1,842.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.