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Finding the Third Proportional to 8,424 and 13,214.81

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Solution

The third proportional to 8,424 and 13,214.81 is: 20,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424 : 13,214.81 = 13,214.81 : x
  2. Step 2: Convert to fraction form
    8,424/13,214.81 = 13,214.81/x
  3. Step 3: Cross multiply
    8,424x = 13,214.81 × 13,214.81
  4. Step 4: Simplify right side
    8,424x = 174,631,269.41
  5. Step 5: Solve for x
    x = 174,631,269.41/8,424
  6. Step 6: Final answer
    x = 20,730.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.