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Finding the Third Proportional to 12,657.25 and 19,649.25

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Solution

The third proportional to 12,657.25 and 19,649.25 is: 30,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.25 : 19,649.25 = 19,649.25 : x
  2. Step 2: Convert to fraction form
    12,657.25/19,649.25 = 19,649.25/x
  3. Step 3: Cross multiply
    12,657.25x = 19,649.25 × 19,649.25
  4. Step 4: Simplify right side
    12,657.25x = 386,093,025.56
  5. Step 5: Solve for x
    x = 386,093,025.56/12,657.25
  6. Step 6: Final answer
    x = 30,503.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.