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Finding the Third Proportional to 1,827.75 and 3,564.75

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Solution

The third proportional to 1,827.75 and 3,564.75 is: 6,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.75 : 3,564.75 = 3,564.75 : x
  2. Step 2: Convert to fraction form
    1,827.75/3,564.75 = 3,564.75/x
  3. Step 3: Cross multiply
    1,827.75x = 3,564.75 × 3,564.75
  4. Step 4: Simplify right side
    1,827.75x = 12,707,442.56
  5. Step 5: Solve for x
    x = 12,707,442.56/1,827.75
  6. Step 6: Final answer
    x = 6,952.51

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.