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Finding the Third Proportional to 8,406.28 and 13,429.55

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Solution

The third proportional to 8,406.28 and 13,429.55 is: 21,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.28 : 13,429.55 = 13,429.55 : x
  2. Step 2: Convert to fraction form
    8,406.28/13,429.55 = 13,429.55/x
  3. Step 3: Cross multiply
    8,406.28x = 13,429.55 × 13,429.55
  4. Step 4: Simplify right side
    8,406.28x = 180,352,729.27
  5. Step 5: Solve for x
    x = 180,352,729.27/8,406.28
  6. Step 6: Final answer
    x = 21,454.52

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.