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Finding the Third Proportional to 12,638.25 and 19,484.63

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Solution

The third proportional to 12,638.25 and 19,484.63 is: 30,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.25 : 19,484.63 = 19,484.63 : x
  2. Step 2: Convert to fraction form
    12,638.25/19,484.63 = 19,484.63/x
  3. Step 3: Cross multiply
    12,638.25x = 19,484.63 × 19,484.63
  4. Step 4: Simplify right side
    12,638.25x = 379,650,611.39
  5. Step 5: Solve for x
    x = 379,650,611.39/12,638.25
  6. Step 6: Final answer
    x = 30,039.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.