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Finding the Third Proportional to 3,190.80 and 4,557.67

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Solution

The third proportional to 3,190.80 and 4,557.67 is: 6,510.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.80 : 4,557.67 = 4,557.67 : x
  2. Step 2: Convert to fraction form
    3,190.80/4,557.67 = 4,557.67/x
  3. Step 3: Cross multiply
    3,190.80x = 4,557.67 × 4,557.67
  4. Step 4: Simplify right side
    3,190.80x = 20,772,390.72
  5. Step 5: Solve for x
    x = 20,772,390.72/3,190.80
  6. Step 6: Final answer
    x = 6,510.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.