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Finding the Third Proportional to 6,114 and 9,185

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Solution

The third proportional to 6,114 and 9,185 is: 13,798.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114 : 9,185 = 9,185 : x
  2. Step 2: Convert to fraction form
    6,114/9,185 = 9,185/x
  3. Step 3: Cross multiply
    6,114x = 9,185 × 9,185
  4. Step 4: Simplify right side
    6,114x = 84,364,225
  5. Step 5: Solve for x
    x = 84,364,225/6,114
  6. Step 6: Final answer
    x = 13,798.53

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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.