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Finding the Third Proportional to 8,164.44 and 12,618.28

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Solution

The third proportional to 8,164.44 and 12,618.28 is: 19,501.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.44 : 12,618.28 = 12,618.28 : x
  2. Step 2: Convert to fraction form
    8,164.44/12,618.28 = 12,618.28/x
  3. Step 3: Cross multiply
    8,164.44x = 12,618.28 × 12,618.28
  4. Step 4: Simplify right side
    8,164.44x = 159,221,021.70
  5. Step 5: Solve for x
    x = 159,221,021.70/8,164.44
  6. Step 6: Final answer
    x = 19,501.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.