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Finding the Third Proportional to 7,548.81 and 11,101.22

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Solution

The third proportional to 7,548.81 and 11,101.22 is: 16,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.81 : 11,101.22 = 11,101.22 : x
  2. Step 2: Convert to fraction form
    7,548.81/11,101.22 = 11,101.22/x
  3. Step 3: Cross multiply
    7,548.81x = 11,101.22 × 11,101.22
  4. Step 4: Simplify right side
    7,548.81x = 123,237,057.74
  5. Step 5: Solve for x
    x = 123,237,057.74/7,548.81
  6. Step 6: Final answer
    x = 16,325.36

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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.