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Finding the Third Proportional to 1,020.75 and 1,447.13

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Solution

The third proportional to 1,020.75 and 1,447.13 is: 2,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.75 : 1,447.13 = 1,447.13 : x
  2. Step 2: Convert to fraction form
    1,020.75/1,447.13 = 1,447.13/x
  3. Step 3: Cross multiply
    1,020.75x = 1,447.13 × 1,447.13
  4. Step 4: Simplify right side
    1,020.75x = 2,094,170.77
  5. Step 5: Solve for x
    x = 2,094,170.77/1,020.75
  6. Step 6: Final answer
    x = 2,051.60

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.