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Finding the Third Proportional to 1,633.88 and 3,552.94

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Solution

The third proportional to 1,633.88 and 3,552.94 is: 7,726.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.88 : 3,552.94 = 3,552.94 : x
  2. Step 2: Convert to fraction form
    1,633.88/3,552.94 = 3,552.94/x
  3. Step 3: Cross multiply
    1,633.88x = 3,552.94 × 3,552.94
  4. Step 4: Simplify right side
    1,633.88x = 12,623,364.88
  5. Step 5: Solve for x
    x = 12,623,364.88/1,633.88
  6. Step 6: Final answer
    x = 7,726.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.