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Finding the Third Proportional to 827.24 and 1,159.47

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Solution

The third proportional to 827.24 and 1,159.47 is: 1,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.24 : 1,159.47 = 1,159.47 : x
  2. Step 2: Convert to fraction form
    827.24/1,159.47 = 1,159.47/x
  3. Step 3: Cross multiply
    827.24x = 1,159.47 × 1,159.47
  4. Step 4: Simplify right side
    827.24x = 1,344,372.31
  5. Step 5: Solve for x
    x = 1,344,372.31/827.24
  6. Step 6: Final answer
    x = 1,625.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.