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Finding the Third Proportional to 3,027.77 and 6,493.55

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Solution

The third proportional to 3,027.77 and 6,493.55 is: 13,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.77 : 6,493.55 = 6,493.55 : x
  2. Step 2: Convert to fraction form
    3,027.77/6,493.55 = 6,493.55/x
  3. Step 3: Cross multiply
    3,027.77x = 6,493.55 × 6,493.55
  4. Step 4: Simplify right side
    3,027.77x = 42,166,141.51
  5. Step 5: Solve for x
    x = 42,166,141.51/3,027.77
  6. Step 6: Final answer
    x = 13,926.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.