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Finding the Third Proportional to 954.28 and 2,238.05

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Solution

The third proportional to 954.28 and 2,238.05 is: 5,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.28 : 2,238.05 = 2,238.05 : x
  2. Step 2: Convert to fraction form
    954.28/2,238.05 = 2,238.05/x
  3. Step 3: Cross multiply
    954.28x = 2,238.05 × 2,238.05
  4. Step 4: Simplify right side
    954.28x = 5,008,853.81
  5. Step 5: Solve for x
    x = 5,008,853.81/954.28
  6. Step 6: Final answer
    x = 5,248.82

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.