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Finding the Third Proportional to 8,444.25 and 12,922.88

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Solution

The third proportional to 8,444.25 and 12,922.88 is: 19,776.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,444.25 : 12,922.88 = 12,922.88 : x
  2. Step 2: Convert to fraction form
    8,444.25/12,922.88 = 12,922.88/x
  3. Step 3: Cross multiply
    8,444.25x = 12,922.88 × 12,922.88
  4. Step 4: Simplify right side
    8,444.25x = 167,000,698.27
  5. Step 5: Solve for x
    x = 167,000,698.27/8,444.25
  6. Step 6: Final answer
    x = 19,776.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.