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Finding the Third Proportional to 4,108.22 and 5,097.94

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Solution

The third proportional to 4,108.22 and 5,097.94 is: 6,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,108.22 : 5,097.94 = 5,097.94 : x
  2. Step 2: Convert to fraction form
    4,108.22/5,097.94 = 5,097.94/x
  3. Step 3: Cross multiply
    4,108.22x = 5,097.94 × 5,097.94
  4. Step 4: Simplify right side
    4,108.22x = 25,988,966.75
  5. Step 5: Solve for x
    x = 25,988,966.75/4,108.22
  6. Step 6: Final answer
    x = 6,326.09

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.