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Finding the Third Proportional to 957.29 and 1,318.23

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Solution

The third proportional to 957.29 and 1,318.23 is: 1,815.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.29 : 1,318.23 = 1,318.23 : x
  2. Step 2: Convert to fraction form
    957.29/1,318.23 = 1,318.23/x
  3. Step 3: Cross multiply
    957.29x = 1,318.23 × 1,318.23
  4. Step 4: Simplify right side
    957.29x = 1,737,723.84
  5. Step 5: Solve for x
    x = 1,737,723.84/957.29
  6. Step 6: Final answer
    x = 1,815.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.