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Finding the Third Proportional to 14,203.50 and 31,233

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Solution

The third proportional to 14,203.50 and 31,233 is: 68,680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.50 : 31,233 = 31,233 : x
  2. Step 2: Convert to fraction form
    14,203.50/31,233 = 31,233/x
  3. Step 3: Cross multiply
    14,203.50x = 31,233 × 31,233
  4. Step 4: Simplify right side
    14,203.50x = 975,500,289
  5. Step 5: Solve for x
    x = 975,500,289/14,203.50
  6. Step 6: Final answer
    x = 68,680.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.