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Finding the Third Proportional to 12,231 and 14,053.50

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Solution

The third proportional to 12,231 and 14,053.50 is: 16,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231 : 14,053.50 = 14,053.50 : x
  2. Step 2: Convert to fraction form
    12,231/14,053.50 = 14,053.50/x
  3. Step 3: Cross multiply
    12,231x = 14,053.50 × 14,053.50
  4. Step 4: Simplify right side
    12,231x = 197,500,862.25
  5. Step 5: Solve for x
    x = 197,500,862.25/12,231
  6. Step 6: Final answer
    x = 16,147.56

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.