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Finding the Third Proportional to 827.72 and 1,374.47

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Solution

The third proportional to 827.72 and 1,374.47 is: 2,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.72 : 1,374.47 = 1,374.47 : x
  2. Step 2: Convert to fraction form
    827.72/1,374.47 = 1,374.47/x
  3. Step 3: Cross multiply
    827.72x = 1,374.47 × 1,374.47
  4. Step 4: Simplify right side
    827.72x = 1,889,164.34
  5. Step 5: Solve for x
    x = 1,889,164.34/827.72
  6. Step 6: Final answer
    x = 2,282.37

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.