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Finding the Third Proportional to 3,103.95 and 6,566.70

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Solution

The third proportional to 3,103.95 and 6,566.70 is: 13,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.95 : 6,566.70 = 6,566.70 : x
  2. Step 2: Convert to fraction form
    3,103.95/6,566.70 = 6,566.70/x
  3. Step 3: Cross multiply
    3,103.95x = 6,566.70 × 6,566.70
  4. Step 4: Simplify right side
    3,103.95x = 43,121,487.33
  5. Step 5: Solve for x
    x = 43,121,487.33/3,103.95
  6. Step 6: Final answer
    x = 13,892.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.