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Finding the Third Proportional to 10,366.88 and 15,636.23

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Solution

The third proportional to 10,366.88 and 15,636.23 is: 23,583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.88 : 15,636.23 = 15,636.23 : x
  2. Step 2: Convert to fraction form
    10,366.88/15,636.23 = 15,636.23/x
  3. Step 3: Cross multiply
    10,366.88x = 15,636.23 × 15,636.23
  4. Step 4: Simplify right side
    10,366.88x = 244,491,825.43
  5. Step 5: Solve for x
    x = 244,491,825.43/10,366.88
  6. Step 6: Final answer
    x = 23,583.95

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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.