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Finding the Third Proportional to 8,210.50 and 12,027.75

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Solution

The third proportional to 8,210.50 and 12,027.75 is: 17,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.50 : 12,027.75 = 12,027.75 : x
  2. Step 2: Convert to fraction form
    8,210.50/12,027.75 = 12,027.75/x
  3. Step 3: Cross multiply
    8,210.50x = 12,027.75 × 12,027.75
  4. Step 4: Simplify right side
    8,210.50x = 144,666,770.06
  5. Step 5: Solve for x
    x = 144,666,770.06/8,210.50
  6. Step 6: Final answer
    x = 17,619.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.