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Finding the Third Proportional to 11,407 and 16,716.38

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Solution

The third proportional to 11,407 and 16,716.38 is: 24,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407 : 16,716.38 = 16,716.38 : x
  2. Step 2: Convert to fraction form
    11,407/16,716.38 = 16,716.38/x
  3. Step 3: Cross multiply
    11,407x = 16,716.38 × 16,716.38
  4. Step 4: Simplify right side
    11,407x = 279,437,193.14
  5. Step 5: Solve for x
    x = 279,437,193.14/11,407
  6. Step 6: Final answer
    x = 24,496.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.