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Finding the Third Proportional to 9,712.41 and 12,468.94

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Solution

The third proportional to 9,712.41 and 12,468.94 is: 16,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.41 : 12,468.94 = 12,468.94 : x
  2. Step 2: Convert to fraction form
    9,712.41/12,468.94 = 12,468.94/x
  3. Step 3: Cross multiply
    9,712.41x = 12,468.94 × 12,468.94
  4. Step 4: Simplify right side
    9,712.41x = 155,474,402.38
  5. Step 5: Solve for x
    x = 155,474,402.38/9,712.41
  6. Step 6: Final answer
    x = 16,007.81

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.