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Finding the Third Proportional to 21,972.52 and 34,012.41

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Solution

The third proportional to 21,972.52 and 34,012.41 is: 52,649.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,972.52 : 34,012.41 = 34,012.41 : x
  2. Step 2: Convert to fraction form
    21,972.52/34,012.41 = 34,012.41/x
  3. Step 3: Cross multiply
    21,972.52x = 34,012.41 × 34,012.41
  4. Step 4: Simplify right side
    21,972.52x = 1,156,843,778.92
  5. Step 5: Solve for x
    x = 1,156,843,778.92/21,972.52
  6. Step 6: Final answer
    x = 52,649.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.