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Finding the Third Proportional to 957.88 and 1,451.24

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Solution

The third proportional to 957.88 and 1,451.24 is: 2,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.88 : 1,451.24 = 1,451.24 : x
  2. Step 2: Convert to fraction form
    957.88/1,451.24 = 1,451.24/x
  3. Step 3: Cross multiply
    957.88x = 1,451.24 × 1,451.24
  4. Step 4: Simplify right side
    957.88x = 2,106,088.30
  5. Step 5: Solve for x
    x = 2,106,088.30/957.88
  6. Step 6: Final answer
    x = 2,198.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.