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Finding the Third Proportional to 8,214.19 and 12,832.88

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Solution

The third proportional to 8,214.19 and 12,832.88 is: 20,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.19 : 12,832.88 = 12,832.88 : x
  2. Step 2: Convert to fraction form
    8,214.19/12,832.88 = 12,832.88/x
  3. Step 3: Cross multiply
    8,214.19x = 12,832.88 × 12,832.88
  4. Step 4: Simplify right side
    8,214.19x = 164,682,680.77
  5. Step 5: Solve for x
    x = 164,682,680.77/8,214.19
  6. Step 6: Final answer
    x = 20,048.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.