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Finding the Third Proportional to 17,666.44 and 21,493.69

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Solution

The third proportional to 17,666.44 and 21,493.69 is: 26,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.44 : 21,493.69 = 21,493.69 : x
  2. Step 2: Convert to fraction form
    17,666.44/21,493.69 = 21,493.69/x
  3. Step 3: Cross multiply
    17,666.44x = 21,493.69 × 21,493.69
  4. Step 4: Simplify right side
    17,666.44x = 461,978,602.35
  5. Step 5: Solve for x
    x = 461,978,602.35/17,666.44
  6. Step 6: Final answer
    x = 26,150.07

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.