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Finding the Third Proportional to 1,634.34 and 3,523.29

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Solution

The third proportional to 1,634.34 and 3,523.29 is: 7,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.34 : 3,523.29 = 3,523.29 : x
  2. Step 2: Convert to fraction form
    1,634.34/3,523.29 = 3,523.29/x
  3. Step 3: Cross multiply
    1,634.34x = 3,523.29 × 3,523.29
  4. Step 4: Simplify right side
    1,634.34x = 12,413,565.82
  5. Step 5: Solve for x
    x = 12,413,565.82/1,634.34
  6. Step 6: Final answer
    x = 7,595.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.