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Finding the Third Proportional to 1,265.06 and 1,900.97

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Solution

The third proportional to 1,265.06 and 1,900.97 is: 2,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.06 : 1,900.97 = 1,900.97 : x
  2. Step 2: Convert to fraction form
    1,265.06/1,900.97 = 1,900.97/x
  3. Step 3: Cross multiply
    1,265.06x = 1,900.97 × 1,900.97
  4. Step 4: Simplify right side
    1,265.06x = 3,613,682.19
  5. Step 5: Solve for x
    x = 3,613,682.19/1,265.06
  6. Step 6: Final answer
    x = 2,856.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.