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Finding the Third Proportional to 16,000.03 and 21,972.52

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Solution

The third proportional to 16,000.03 and 21,972.52 is: 30,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.03 : 21,972.52 = 21,972.52 : x
  2. Step 2: Convert to fraction form
    16,000.03/21,972.52 = 21,972.52/x
  3. Step 3: Cross multiply
    16,000.03x = 21,972.52 × 21,972.52
  4. Step 4: Simplify right side
    16,000.03x = 482,791,442.89
  5. Step 5: Solve for x
    x = 482,791,442.89/16,000.03
  6. Step 6: Final answer
    x = 30,174.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.