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Finding the Third Proportional to 1,974.85 and 4,296.64

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Solution

The third proportional to 1,974.85 and 4,296.64 is: 9,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.85 : 4,296.64 = 4,296.64 : x
  2. Step 2: Convert to fraction form
    1,974.85/4,296.64 = 4,296.64/x
  3. Step 3: Cross multiply
    1,974.85x = 4,296.64 × 4,296.64
  4. Step 4: Simplify right side
    1,974.85x = 18,461,103.88
  5. Step 5: Solve for x
    x = 18,461,103.88/1,974.85
  6. Step 6: Final answer
    x = 9,348.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.