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Finding the Third Proportional to 16,224 and 23,697.50

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Solution

The third proportional to 16,224 and 23,697.50 is: 34,613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224 : 23,697.50 = 23,697.50 : x
  2. Step 2: Convert to fraction form
    16,224/23,697.50 = 23,697.50/x
  3. Step 3: Cross multiply
    16,224x = 23,697.50 × 23,697.50
  4. Step 4: Simplify right side
    16,224x = 561,571,506.25
  5. Step 5: Solve for x
    x = 561,571,506.25/16,224
  6. Step 6: Final answer
    x = 34,613.63

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.