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Finding the Third Proportional to 14,906.25 and 23,239.13

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Solution

The third proportional to 14,906.25 and 23,239.13 is: 36,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.25 : 23,239.13 = 23,239.13 : x
  2. Step 2: Convert to fraction form
    14,906.25/23,239.13 = 23,239.13/x
  3. Step 3: Cross multiply
    14,906.25x = 23,239.13 × 23,239.13
  4. Step 4: Simplify right side
    14,906.25x = 540,056,930.77
  5. Step 5: Solve for x
    x = 540,056,930.77/14,906.25
  6. Step 6: Final answer
    x = 36,230.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.