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Finding the Third Proportional to 4,207.50 and 8,858.81

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Solution

The third proportional to 4,207.50 and 8,858.81 is: 18,652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.50 : 8,858.81 = 8,858.81 : x
  2. Step 2: Convert to fraction form
    4,207.50/8,858.81 = 8,858.81/x
  3. Step 3: Cross multiply
    4,207.50x = 8,858.81 × 8,858.81
  4. Step 4: Simplify right side
    4,207.50x = 78,478,558.91
  5. Step 5: Solve for x
    x = 78,478,558.91/4,207.50
  6. Step 6: Final answer
    x = 18,652.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.