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Finding the Third Proportional to 9,191 and 13,750

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Solution

The third proportional to 9,191 and 13,750 is: 20,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191 : 13,750 = 13,750 : x
  2. Step 2: Convert to fraction form
    9,191/13,750 = 13,750/x
  3. Step 3: Cross multiply
    9,191x = 13,750 × 13,750
  4. Step 4: Simplify right side
    9,191x = 189,062,500
  5. Step 5: Solve for x
    x = 189,062,500/9,191
  6. Step 6: Final answer
    x = 20,570.39

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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.