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Finding the Third Proportional to 957.97 and 2,062.68

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Solution

The third proportional to 957.97 and 2,062.68 is: 4,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.97 : 2,062.68 = 2,062.68 : x
  2. Step 2: Convert to fraction form
    957.97/2,062.68 = 2,062.68/x
  3. Step 3: Cross multiply
    957.97x = 2,062.68 × 2,062.68
  4. Step 4: Simplify right side
    957.97x = 4,254,657.06
  5. Step 5: Solve for x
    x = 4,254,657.06/957.97
  6. Step 6: Final answer
    x = 4,441.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.