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Finding the Third Proportional to 827.25 and 1,244.81

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Solution

The third proportional to 827.25 and 1,244.81 is: 1,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.25 : 1,244.81 = 1,244.81 : x
  2. Step 2: Convert to fraction form
    827.25/1,244.81 = 1,244.81/x
  3. Step 3: Cross multiply
    827.25x = 1,244.81 × 1,244.81
  4. Step 4: Simplify right side
    827.25x = 1,549,558.16
  5. Step 5: Solve for x
    x = 1,549,558.16/827.25
  6. Step 6: Final answer
    x = 1,873.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.