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Finding the Third Proportional to 16,021.55 and 37,089.14

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Solution

The third proportional to 16,021.55 and 37,089.14 is: 85,859.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.55 : 37,089.14 = 37,089.14 : x
  2. Step 2: Convert to fraction form
    16,021.55/37,089.14 = 37,089.14/x
  3. Step 3: Cross multiply
    16,021.55x = 37,089.14 × 37,089.14
  4. Step 4: Simplify right side
    16,021.55x = 1,375,604,352.30
  5. Step 5: Solve for x
    x = 1,375,604,352.30/16,021.55
  6. Step 6: Final answer
    x = 85,859.65

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.