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Finding the Third Proportional to 8,051.91 and 12,456.28

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Solution

The third proportional to 8,051.91 and 12,456.28 is: 19,269.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.91 : 12,456.28 = 12,456.28 : x
  2. Step 2: Convert to fraction form
    8,051.91/12,456.28 = 12,456.28/x
  3. Step 3: Cross multiply
    8,051.91x = 12,456.28 × 12,456.28
  4. Step 4: Simplify right side
    8,051.91x = 155,158,942.58
  5. Step 5: Solve for x
    x = 155,158,942.58/8,051.91
  6. Step 6: Final answer
    x = 19,269.84

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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.