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Finding the Third Proportional to 8,420.45 and 14,033.36

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Solution

The third proportional to 8,420.45 and 14,033.36 is: 23,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.45 : 14,033.36 = 14,033.36 : x
  2. Step 2: Convert to fraction form
    8,420.45/14,033.36 = 14,033.36/x
  3. Step 3: Cross multiply
    8,420.45x = 14,033.36 × 14,033.36
  4. Step 4: Simplify right side
    8,420.45x = 196,935,065.71
  5. Step 5: Solve for x
    x = 196,935,065.71/8,420.45
  6. Step 6: Final answer
    x = 23,387.71

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.