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Finding the Third Proportional to 11,397.38 and 16,005.94

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Solution

The third proportional to 11,397.38 and 16,005.94 is: 22,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.38 : 16,005.94 = 16,005.94 : x
  2. Step 2: Convert to fraction form
    11,397.38/16,005.94 = 16,005.94/x
  3. Step 3: Cross multiply
    11,397.38x = 16,005.94 × 16,005.94
  4. Step 4: Simplify right side
    11,397.38x = 256,190,035.25
  5. Step 5: Solve for x
    x = 256,190,035.25/11,397.38
  6. Step 6: Final answer
    x = 22,477.99

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.