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Finding the Third Proportional to 9,921.63 and 13,511.38

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Solution

The third proportional to 9,921.63 and 13,511.38 is: 18,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.63 : 13,511.38 = 13,511.38 : x
  2. Step 2: Convert to fraction form
    9,921.63/13,511.38 = 13,511.38/x
  3. Step 3: Cross multiply
    9,921.63x = 13,511.38 × 13,511.38
  4. Step 4: Simplify right side
    9,921.63x = 182,557,254.39
  5. Step 5: Solve for x
    x = 182,557,254.39/9,921.63
  6. Step 6: Final answer
    x = 18,399.93

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.