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Finding the Third Proportional to 934.88 and 2,053.27

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Solution

The third proportional to 934.88 and 2,053.27 is: 4,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.88 : 2,053.27 = 2,053.27 : x
  2. Step 2: Convert to fraction form
    934.88/2,053.27 = 2,053.27/x
  3. Step 3: Cross multiply
    934.88x = 2,053.27 × 2,053.27
  4. Step 4: Simplify right side
    934.88x = 4,215,899.73
  5. Step 5: Solve for x
    x = 4,215,899.73/934.88
  6. Step 6: Final answer
    x = 4,509.59

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.