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Finding the Third Proportional to 10,367.21 and 15,636.72

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Solution

The third proportional to 10,367.21 and 15,636.72 is: 23,584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.21 : 15,636.72 = 15,636.72 : x
  2. Step 2: Convert to fraction form
    10,367.21/15,636.72 = 15,636.72/x
  3. Step 3: Cross multiply
    10,367.21x = 15,636.72 × 15,636.72
  4. Step 4: Simplify right side
    10,367.21x = 244,506,942.73
  5. Step 5: Solve for x
    x = 244,506,942.73/10,367.21
  6. Step 6: Final answer
    x = 23,584.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.