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Finding the Third Proportional to 1,267.50 and 2,735

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Solution

The third proportional to 1,267.50 and 2,735 is: 5,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.50 : 2,735 = 2,735 : x
  2. Step 2: Convert to fraction form
    1,267.50/2,735 = 2,735/x
  3. Step 3: Cross multiply
    1,267.50x = 2,735 × 2,735
  4. Step 4: Simplify right side
    1,267.50x = 7,480,225
  5. Step 5: Solve for x
    x = 7,480,225/1,267.50
  6. Step 6: Final answer
    x = 5,901.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.