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Finding the Third Proportional to 16,153.75 and 34,261.75

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Solution

The third proportional to 16,153.75 and 34,261.75 is: 72,668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.75 : 34,261.75 = 34,261.75 : x
  2. Step 2: Convert to fraction form
    16,153.75/34,261.75 = 34,261.75/x
  3. Step 3: Cross multiply
    16,153.75x = 34,261.75 × 34,261.75
  4. Step 4: Simplify right side
    16,153.75x = 1,173,867,513.06
  5. Step 5: Solve for x
    x = 1,173,867,513.06/16,153.75
  6. Step 6: Final answer
    x = 72,668.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.