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Finding the Third Proportional to 3,019.57 and 6,485.70

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Solution

The third proportional to 3,019.57 and 6,485.70 is: 13,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.57 : 6,485.70 = 6,485.70 : x
  2. Step 2: Convert to fraction form
    3,019.57/6,485.70 = 6,485.70/x
  3. Step 3: Cross multiply
    3,019.57x = 6,485.70 × 6,485.70
  4. Step 4: Simplify right side
    3,019.57x = 42,064,243.69
  5. Step 5: Solve for x
    x = 42,064,243.69/3,019.57
  6. Step 6: Final answer
    x = 13,930.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.