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Finding the Third Proportional to 3,190.25 and 4,690.88

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Solution

The third proportional to 3,190.25 and 4,690.88 is: 6,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.25 : 4,690.88 = 4,690.88 : x
  2. Step 2: Convert to fraction form
    3,190.25/4,690.88 = 4,690.88/x
  3. Step 3: Cross multiply
    3,190.25x = 4,690.88 × 4,690.88
  4. Step 4: Simplify right side
    3,190.25x = 22,004,308.27
  5. Step 5: Solve for x
    x = 22,004,308.27/3,190.25
  6. Step 6: Final answer
    x = 6,897.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.