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Finding the Third Proportional to 16,170 and 24,847.50

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Solution

The third proportional to 16,170 and 24,847.50 is: 38,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,170 : 24,847.50 = 24,847.50 : x
  2. Step 2: Convert to fraction form
    16,170/24,847.50 = 24,847.50/x
  3. Step 3: Cross multiply
    16,170x = 24,847.50 × 24,847.50
  4. Step 4: Simplify right side
    16,170x = 617,398,256.25
  5. Step 5: Solve for x
    x = 617,398,256.25/16,170
  6. Step 6: Final answer
    x = 38,181.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.