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Finding the Third Proportional to 957.94 and 1,854.28

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Solution

The third proportional to 957.94 and 1,854.28 is: 3,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.94 : 1,854.28 = 1,854.28 : x
  2. Step 2: Convert to fraction form
    957.94/1,854.28 = 1,854.28/x
  3. Step 3: Cross multiply
    957.94x = 1,854.28 × 1,854.28
  4. Step 4: Simplify right side
    957.94x = 3,438,358.95
  5. Step 5: Solve for x
    x = 3,438,358.95/957.94
  6. Step 6: Final answer
    x = 3,589.34

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.