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Finding the Third Proportional to 827.63 and 1,864.13

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Solution

The third proportional to 827.63 and 1,864.13 is: 4,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.63 : 1,864.13 = 1,864.13 : x
  2. Step 2: Convert to fraction form
    827.63/1,864.13 = 1,864.13/x
  3. Step 3: Cross multiply
    827.63x = 1,864.13 × 1,864.13
  4. Step 4: Simplify right side
    827.63x = 3,474,962.02
  5. Step 5: Solve for x
    x = 3,474,962.02/827.63
  6. Step 6: Final answer
    x = 4,198.72

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.