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Finding the Third Proportional to 4,257.56 and 8,406.56

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Solution

The third proportional to 4,257.56 and 8,406.56 is: 16,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.56 : 8,406.56 = 8,406.56 : x
  2. Step 2: Convert to fraction form
    4,257.56/8,406.56 = 8,406.56/x
  3. Step 3: Cross multiply
    4,257.56x = 8,406.56 × 8,406.56
  4. Step 4: Simplify right side
    4,257.56x = 70,670,293.07
  5. Step 5: Solve for x
    x = 70,670,293.07/4,257.56
  6. Step 6: Final answer
    x = 16,598.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.