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Finding the Third Proportional to 4,598.25 and 7,071.44

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Solution

The third proportional to 4,598.25 and 7,071.44 is: 10,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.25 : 7,071.44 = 7,071.44 : x
  2. Step 2: Convert to fraction form
    4,598.25/7,071.44 = 7,071.44/x
  3. Step 3: Cross multiply
    4,598.25x = 7,071.44 × 7,071.44
  4. Step 4: Simplify right side
    4,598.25x = 50,005,297.37
  5. Step 5: Solve for x
    x = 50,005,297.37/4,598.25
  6. Step 6: Final answer
    x = 10,874.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.