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Finding the Third Proportional to 2,037.50 and 2,960.14

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Solution

The third proportional to 2,037.50 and 2,960.14 is: 4,300.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.50 : 2,960.14 = 2,960.14 : x
  2. Step 2: Convert to fraction form
    2,037.50/2,960.14 = 2,960.14/x
  3. Step 3: Cross multiply
    2,037.50x = 2,960.14 × 2,960.14
  4. Step 4: Simplify right side
    2,037.50x = 8,762,420.96
  5. Step 5: Solve for x
    x = 8,762,420.96/2,037.50
  6. Step 6: Final answer
    x = 4,300.58

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.