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Finding the Third Proportional to 13,410.56 and 18,738.84

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Solution

The third proportional to 13,410.56 and 18,738.84 is: 26,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.56 : 18,738.84 = 18,738.84 : x
  2. Step 2: Convert to fraction form
    13,410.56/18,738.84 = 18,738.84/x
  3. Step 3: Cross multiply
    13,410.56x = 18,738.84 × 18,738.84
  4. Step 4: Simplify right side
    13,410.56x = 351,144,265.09
  5. Step 5: Solve for x
    x = 351,144,265.09/13,410.56
  6. Step 6: Final answer
    x = 26,184.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.