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Finding the Third Proportional to 3,085.91 and 4,103.00

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Solution

The third proportional to 3,085.91 and 4,103.00 is: 5,455.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.91 : 4,103.00 = 4,103.00 : x
  2. Step 2: Convert to fraction form
    3,085.91/4,103.00 = 4,103.00/x
  3. Step 3: Cross multiply
    3,085.91x = 4,103.00 × 4,103.00
  4. Step 4: Simplify right side
    3,085.91x = 16,834,592.97
  5. Step 5: Solve for x
    x = 16,834,592.97/3,085.91
  6. Step 6: Final answer
    x = 5,455.31

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.