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Finding the Third Proportional to 11,326.08 and 16,642.38

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Solution

The third proportional to 11,326.08 and 16,642.38 is: 24,454.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.08 : 16,642.38 = 16,642.38 : x
  2. Step 2: Convert to fraction form
    11,326.08/16,642.38 = 16,642.38/x
  3. Step 3: Cross multiply
    11,326.08x = 16,642.38 × 16,642.38
  4. Step 4: Simplify right side
    11,326.08x = 276,968,661.89
  5. Step 5: Solve for x
    x = 276,968,661.89/11,326.08
  6. Step 6: Final answer
    x = 24,454.07

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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.