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Finding the Third Proportional to 3,134.95 and 6,759.70

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Solution

The third proportional to 3,134.95 and 6,759.70 is: 14,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.95 : 6,759.70 = 6,759.70 : x
  2. Step 2: Convert to fraction form
    3,134.95/6,759.70 = 6,759.70/x
  3. Step 3: Cross multiply
    3,134.95x = 6,759.70 × 6,759.70
  4. Step 4: Simplify right side
    3,134.95x = 45,693,586.34
  5. Step 5: Solve for x
    x = 45,693,586.34/3,134.95
  6. Step 6: Final answer
    x = 14,575.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.