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Finding the Third Proportional to 12,738.09 and 18,347.77

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Solution

The third proportional to 12,738.09 and 18,347.77 is: 26,427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738.09 : 18,347.77 = 18,347.77 : x
  2. Step 2: Convert to fraction form
    12,738.09/18,347.77 = 18,347.77/x
  3. Step 3: Cross multiply
    12,738.09x = 18,347.77 × 18,347.77
  4. Step 4: Simplify right side
    12,738.09x = 336,640,503.43
  5. Step 5: Solve for x
    x = 336,640,503.43/12,738.09
  6. Step 6: Final answer
    x = 26,427.86

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.