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Finding the Third Proportional to 16,262.25 and 24,255.75

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Solution

The third proportional to 16,262.25 and 24,255.75 is: 36,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.25 : 24,255.75 = 24,255.75 : x
  2. Step 2: Convert to fraction form
    16,262.25/24,255.75 = 24,255.75/x
  3. Step 3: Cross multiply
    16,262.25x = 24,255.75 × 24,255.75
  4. Step 4: Simplify right side
    16,262.25x = 588,341,408.06
  5. Step 5: Solve for x
    x = 588,341,408.06/16,262.25
  6. Step 6: Final answer
    x = 36,178.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.