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Finding the Third Proportional to 9,636.47 and 14,414.84

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Solution

The third proportional to 9,636.47 and 14,414.84 is: 21,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.47 : 14,414.84 = 14,414.84 : x
  2. Step 2: Convert to fraction form
    9,636.47/14,414.84 = 14,414.84/x
  3. Step 3: Cross multiply
    9,636.47x = 14,414.84 × 14,414.84
  4. Step 4: Simplify right side
    9,636.47x = 207,787,495.11
  5. Step 5: Solve for x
    x = 207,787,495.11/9,636.47
  6. Step 6: Final answer
    x = 21,562.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.