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Finding the Third Proportional to 9,138 and 13,771.50

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Solution

The third proportional to 9,138 and 13,771.50 is: 20,754.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138 : 13,771.50 = 13,771.50 : x
  2. Step 2: Convert to fraction form
    9,138/13,771.50 = 13,771.50/x
  3. Step 3: Cross multiply
    9,138x = 13,771.50 × 13,771.50
  4. Step 4: Simplify right side
    9,138x = 189,654,212.25
  5. Step 5: Solve for x
    x = 189,654,212.25/9,138
  6. Step 6: Final answer
    x = 20,754.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.