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Finding the Third Proportional to 2,085.55 and 4,228.77

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Solution

The third proportional to 2,085.55 and 4,228.77 is: 8,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.55 : 4,228.77 = 4,228.77 : x
  2. Step 2: Convert to fraction form
    2,085.55/4,228.77 = 4,228.77/x
  3. Step 3: Cross multiply
    2,085.55x = 4,228.77 × 4,228.77
  4. Step 4: Simplify right side
    2,085.55x = 17,882,491.75
  5. Step 5: Solve for x
    x = 17,882,491.75/2,085.55
  6. Step 6: Final answer
    x = 8,574.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.