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Finding the Third Proportional to 701.06 and 1,447.69

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Solution

The third proportional to 701.06 and 1,447.69 is: 2,989.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.06 : 1,447.69 = 1,447.69 : x
  2. Step 2: Convert to fraction form
    701.06/1,447.69 = 1,447.69/x
  3. Step 3: Cross multiply
    701.06x = 1,447.69 × 1,447.69
  4. Step 4: Simplify right side
    701.06x = 2,095,799.10
  5. Step 5: Solve for x
    x = 2,095,799.10/701.06
  6. Step 6: Final answer
    x = 2,989.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.