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Finding the Third Proportional to 8,309.81 and 12,342.94

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Solution

The third proportional to 8,309.81 and 12,342.94 is: 18,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.81 : 12,342.94 = 12,342.94 : x
  2. Step 2: Convert to fraction form
    8,309.81/12,342.94 = 12,342.94/x
  3. Step 3: Cross multiply
    8,309.81x = 12,342.94 × 12,342.94
  4. Step 4: Simplify right side
    8,309.81x = 152,348,106.13
  5. Step 5: Solve for x
    x = 152,348,106.13/8,309.81
  6. Step 6: Final answer
    x = 18,333.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.