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Finding the Third Proportional to 800.72 and 1,911.94

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Solution

The third proportional to 800.72 and 1,911.94 is: 4,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.72 : 1,911.94 = 1,911.94 : x
  2. Step 2: Convert to fraction form
    800.72/1,911.94 = 1,911.94/x
  3. Step 3: Cross multiply
    800.72x = 1,911.94 × 1,911.94
  4. Step 4: Simplify right side
    800.72x = 3,655,505.00
  5. Step 5: Solve for x
    x = 3,655,505.00/800.72
  6. Step 6: Final answer
    x = 4,565.28

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.