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Finding the Third Proportional to 954.42 and 2,029.92

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Solution

The third proportional to 954.42 and 2,029.92 is: 4,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.42 : 2,029.92 = 2,029.92 : x
  2. Step 2: Convert to fraction form
    954.42/2,029.92 = 2,029.92/x
  3. Step 3: Cross multiply
    954.42x = 2,029.92 × 2,029.92
  4. Step 4: Simplify right side
    954.42x = 4,120,582.82
  5. Step 5: Solve for x
    x = 4,120,582.82/954.42
  6. Step 6: Final answer
    x = 4,317.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.