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Finding the Third Proportional to 3,027.61 and 6,493.16

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Solution

The third proportional to 3,027.61 and 6,493.16 is: 13,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.61 : 6,493.16 = 6,493.16 : x
  2. Step 2: Convert to fraction form
    3,027.61/6,493.16 = 6,493.16/x
  3. Step 3: Cross multiply
    3,027.61x = 6,493.16 × 6,493.16
  4. Step 4: Simplify right side
    3,027.61x = 42,161,090.77
  5. Step 5: Solve for x
    x = 42,161,090.77/3,027.61
  6. Step 6: Final answer
    x = 13,925.52

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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.