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Finding the Third Proportional to 9,185 and 13,567

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Solution

The third proportional to 9,185 and 13,567 is: 20,039.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185 : 13,567 = 13,567 : x
  2. Step 2: Convert to fraction form
    9,185/13,567 = 13,567/x
  3. Step 3: Cross multiply
    9,185x = 13,567 × 13,567
  4. Step 4: Simplify right side
    9,185x = 184,063,489
  5. Step 5: Solve for x
    x = 184,063,489/9,185
  6. Step 6: Final answer
    x = 20,039.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.