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Finding the Third Proportional to 954.28 and 2,022.47

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Solution

The third proportional to 954.28 and 2,022.47 is: 4,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.28 : 2,022.47 = 2,022.47 : x
  2. Step 2: Convert to fraction form
    954.28/2,022.47 = 2,022.47/x
  3. Step 3: Cross multiply
    954.28x = 2,022.47 × 2,022.47
  4. Step 4: Simplify right side
    954.28x = 4,090,379.84
  5. Step 5: Solve for x
    x = 4,090,379.84/954.28
  6. Step 6: Final answer
    x = 4,286.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.