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Finding the Third Proportional to 1,937.67 and 2,960.30

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Solution

The third proportional to 1,937.67 and 2,960.30 is: 4,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,937.67 : 2,960.30 = 2,960.30 : x
  2. Step 2: Convert to fraction form
    1,937.67/2,960.30 = 2,960.30/x
  3. Step 3: Cross multiply
    1,937.67x = 2,960.30 × 2,960.30
  4. Step 4: Simplify right side
    1,937.67x = 8,763,357.59
  5. Step 5: Solve for x
    x = 8,763,357.59/1,937.67
  6. Step 6: Final answer
    x = 4,522.62

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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.