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Finding the Third Proportional to 3,330.70 and 5,110.17

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Solution

The third proportional to 3,330.70 and 5,110.17 is: 7,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,330.70 : 5,110.17 = 5,110.17 : x
  2. Step 2: Convert to fraction form
    3,330.70/5,110.17 = 5,110.17/x
  3. Step 3: Cross multiply
    3,330.70x = 5,110.17 × 5,110.17
  4. Step 4: Simplify right side
    3,330.70x = 26,113,856.59
  5. Step 5: Solve for x
    x = 26,113,856.59/3,330.70
  6. Step 6: Final answer
    x = 7,840.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.