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Finding the Third Proportional to 6,033 and 13,885.50

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Solution

The third proportional to 6,033 and 13,885.50 is: 31,958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033 : 13,885.50 = 13,885.50 : x
  2. Step 2: Convert to fraction form
    6,033/13,885.50 = 13,885.50/x
  3. Step 3: Cross multiply
    6,033x = 13,885.50 × 13,885.50
  4. Step 4: Simplify right side
    6,033x = 192,807,110.25
  5. Step 5: Solve for x
    x = 192,807,110.25/6,033
  6. Step 6: Final answer
    x = 31,958.75

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.