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Finding the Third Proportional to 13,381.88 and 20,111.63

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Solution

The third proportional to 13,381.88 and 20,111.63 is: 30,225.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.88 : 20,111.63 = 20,111.63 : x
  2. Step 2: Convert to fraction form
    13,381.88/20,111.63 = 20,111.63/x
  3. Step 3: Cross multiply
    13,381.88x = 20,111.63 × 20,111.63
  4. Step 4: Simplify right side
    13,381.88x = 404,477,460.14
  5. Step 5: Solve for x
    x = 404,477,460.14/13,381.88
  6. Step 6: Final answer
    x = 30,225.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.