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Finding the Third Proportional to 13,744.13 and 18,964.13

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Solution

The third proportional to 13,744.13 and 18,964.13 is: 26,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.13 : 18,964.13 = 18,964.13 : x
  2. Step 2: Convert to fraction form
    13,744.13/18,964.13 = 18,964.13/x
  3. Step 3: Cross multiply
    13,744.13x = 18,964.13 × 18,964.13
  4. Step 4: Simplify right side
    13,744.13x = 359,638,037.02
  5. Step 5: Solve for x
    x = 359,638,037.02/13,744.13
  6. Step 6: Final answer
    x = 26,166.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.