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Finding the Third Proportional to 1,277.91 and 1,954.03

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Solution

The third proportional to 1,277.91 and 1,954.03 is: 2,987.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.91 : 1,954.03 = 1,954.03 : x
  2. Step 2: Convert to fraction form
    1,277.91/1,954.03 = 1,954.03/x
  3. Step 3: Cross multiply
    1,277.91x = 1,954.03 × 1,954.03
  4. Step 4: Simplify right side
    1,277.91x = 3,818,238.13
  5. Step 5: Solve for x
    x = 3,818,238.13/1,277.91
  6. Step 6: Final answer
    x = 2,987.89

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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.