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Finding the Third Proportional to 13,597.88 and 20,381.63

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Solution

The third proportional to 13,597.88 and 20,381.63 is: 30,549.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.88 : 20,381.63 = 20,381.63 : x
  2. Step 2: Convert to fraction form
    13,597.88/20,381.63 = 20,381.63/x
  3. Step 3: Cross multiply
    13,597.88x = 20,381.63 × 20,381.63
  4. Step 4: Simplify right side
    13,597.88x = 415,410,637.64
  5. Step 5: Solve for x
    x = 415,410,637.64/13,597.88
  6. Step 6: Final answer
    x = 30,549.67

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Why These Related Problems?

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