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Finding the Third Proportional to 11,548.78 and 16,090.36

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Solution

The third proportional to 11,548.78 and 16,090.36 is: 22,417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.78 : 16,090.36 = 16,090.36 : x
  2. Step 2: Convert to fraction form
    11,548.78/16,090.36 = 16,090.36/x
  3. Step 3: Cross multiply
    11,548.78x = 16,090.36 × 16,090.36
  4. Step 4: Simplify right side
    11,548.78x = 258,899,664.82
  5. Step 5: Solve for x
    x = 258,899,664.82/11,548.78
  6. Step 6: Final answer
    x = 22,417.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.