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Finding the Third Proportional to 2,486.00 and 4,228.77

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Solution

The third proportional to 2,486.00 and 4,228.77 is: 7,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.00 : 4,228.77 = 4,228.77 : x
  2. Step 2: Convert to fraction form
    2,486.00/4,228.77 = 4,228.77/x
  3. Step 3: Cross multiply
    2,486.00x = 4,228.77 × 4,228.77
  4. Step 4: Simplify right side
    2,486.00x = 17,882,491.75
  5. Step 5: Solve for x
    x = 17,882,491.75/2,486.00
  6. Step 6: Final answer
    x = 7,193.27

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.