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Finding the Third Proportional to 2,906.51 and 6,308.51

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Solution

The third proportional to 2,906.51 and 6,308.51 is: 13,692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.51 : 6,308.51 = 6,308.51 : x
  2. Step 2: Convert to fraction form
    2,906.51/6,308.51 = 6,308.51/x
  3. Step 3: Cross multiply
    2,906.51x = 6,308.51 × 6,308.51
  4. Step 4: Simplify right side
    2,906.51x = 39,797,270.82
  5. Step 5: Solve for x
    x = 39,797,270.82/2,906.51
  6. Step 6: Final answer
    x = 13,692.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.