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Finding the Third Proportional to 3,402.84 and 6,296.06

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Solution

The third proportional to 3,402.84 and 6,296.06 is: 11,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.84 : 6,296.06 = 6,296.06 : x
  2. Step 2: Convert to fraction form
    3,402.84/6,296.06 = 6,296.06/x
  3. Step 3: Cross multiply
    3,402.84x = 6,296.06 × 6,296.06
  4. Step 4: Simplify right side
    3,402.84x = 39,640,403.00
  5. Step 5: Solve for x
    x = 39,640,403.00/3,402.84
  6. Step 6: Final answer
    x = 11,649.20

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.