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Finding the Third Proportional to 14,744.53 and 22,126.92

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Solution

The third proportional to 14,744.53 and 22,126.92 is: 33,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,744.53 : 22,126.92 = 22,126.92 : x
  2. Step 2: Convert to fraction form
    14,744.53/22,126.92 = 22,126.92/x
  3. Step 3: Cross multiply
    14,744.53x = 22,126.92 × 22,126.92
  4. Step 4: Simplify right side
    14,744.53x = 489,600,671.66
  5. Step 5: Solve for x
    x = 489,600,671.66/14,744.53
  6. Step 6: Final answer
    x = 33,205.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.