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Finding the Third Proportional to 954.25 and 2,029.75

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Solution

The third proportional to 954.25 and 2,029.75 is: 4,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.25 : 2,029.75 = 2,029.75 : x
  2. Step 2: Convert to fraction form
    954.25/2,029.75 = 2,029.75/x
  3. Step 3: Cross multiply
    954.25x = 2,029.75 × 2,029.75
  4. Step 4: Simplify right side
    954.25x = 4,119,885.06
  5. Step 5: Solve for x
    x = 4,119,885.06/954.25
  6. Step 6: Final answer
    x = 4,317.41

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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.