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Finding the Third Proportional to 827.51 and 1,775.04

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Solution

The third proportional to 827.51 and 1,775.04 is: 3,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.51 : 1,775.04 = 1,775.04 : x
  2. Step 2: Convert to fraction form
    827.51/1,775.04 = 1,775.04/x
  3. Step 3: Cross multiply
    827.51x = 1,775.04 × 1,775.04
  4. Step 4: Simplify right side
    827.51x = 3,150,763.67
  5. Step 5: Solve for x
    x = 3,150,763.67/827.51
  6. Step 6: Final answer
    x = 3,807.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.