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Finding the Third Proportional to 827.63 and 1,230.13

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Solution

The third proportional to 827.63 and 1,230.13 is: 1,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,230.13 = 1,230.13 : x
  2. Step 2: Convert to fraction form
    827.63/1,230.13 = 1,230.13/x
  3. Step 3: Cross multiply
    827.63x = 1,230.13 × 1,230.13
  4. Step 4: Simplify right side
    827.63x = 1,513,207.52
  5. Step 5: Solve for x
    x = 1,513,207.52/827.63
  6. Step 6: Final answer
    x = 1,828.37

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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.