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Finding the Third Proportional to 12,939.75 and 22,295.25

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Solution

The third proportional to 12,939.75 and 22,295.25 is: 38,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,939.75 : 22,295.25 = 22,295.25 : x
  2. Step 2: Convert to fraction form
    12,939.75/22,295.25 = 22,295.25/x
  3. Step 3: Cross multiply
    12,939.75x = 22,295.25 × 22,295.25
  4. Step 4: Simplify right side
    12,939.75x = 497,078,172.56
  5. Step 5: Solve for x
    x = 497,078,172.56/12,939.75
  6. Step 6: Final answer
    x = 38,414.82

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These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.