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Finding the Third Proportional to 1,281.75 and 1,960.13

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Solution

The third proportional to 1,281.75 and 1,960.13 is: 2,997.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.75 : 1,960.13 = 1,960.13 : x
  2. Step 2: Convert to fraction form
    1,281.75/1,960.13 = 1,960.13/x
  3. Step 3: Cross multiply
    1,281.75x = 1,960.13 × 1,960.13
  4. Step 4: Simplify right side
    1,281.75x = 3,842,090.02
  5. Step 5: Solve for x
    x = 3,842,090.02/1,281.75
  6. Step 6: Final answer
    x = 2,997.53

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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.