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Finding the Third Proportional to 1,027.69 and 1,534.57

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Solution

The third proportional to 1,027.69 and 1,534.57 is: 2,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.69 : 1,534.57 = 1,534.57 : x
  2. Step 2: Convert to fraction form
    1,027.69/1,534.57 = 1,534.57/x
  3. Step 3: Cross multiply
    1,027.69x = 1,534.57 × 1,534.57
  4. Step 4: Simplify right side
    1,027.69x = 2,354,906.04
  5. Step 5: Solve for x
    x = 2,354,906.04/1,027.69
  6. Step 6: Final answer
    x = 2,291.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.