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Finding the Third Proportional to 13,014 and 20,157.75

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Solution

The third proportional to 13,014 and 20,157.75 is: 31,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014 : 20,157.75 = 20,157.75 : x
  2. Step 2: Convert to fraction form
    13,014/20,157.75 = 20,157.75/x
  3. Step 3: Cross multiply
    13,014x = 20,157.75 × 20,157.75
  4. Step 4: Simplify right side
    13,014x = 406,334,885.06
  5. Step 5: Solve for x
    x = 406,334,885.06/13,014
  6. Step 6: Final answer
    x = 31,222.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.