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Finding the Third Proportional to 16,136 and 23,240.50

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Solution

The third proportional to 16,136 and 23,240.50 is: 33,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136 : 23,240.50 = 23,240.50 : x
  2. Step 2: Convert to fraction form
    16,136/23,240.50 = 23,240.50/x
  3. Step 3: Cross multiply
    16,136x = 23,240.50 × 23,240.50
  4. Step 4: Simplify right side
    16,136x = 540,120,840.25
  5. Step 5: Solve for x
    x = 540,120,840.25/16,136
  6. Step 6: Final answer
    x = 33,473.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.