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Finding the Third Proportional to 635.91 and 1,354.22

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Solution

The third proportional to 635.91 and 1,354.22 is: 2,883.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.91 : 1,354.22 = 1,354.22 : x
  2. Step 2: Convert to fraction form
    635.91/1,354.22 = 1,354.22/x
  3. Step 3: Cross multiply
    635.91x = 1,354.22 × 1,354.22
  4. Step 4: Simplify right side
    635.91x = 1,833,908.42
  5. Step 5: Solve for x
    x = 1,833,908.42/635.91
  6. Step 6: Final answer
    x = 2,883.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.