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Finding the Third Proportional to 6,078 and 14,115

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Solution

The third proportional to 6,078 and 14,115 is: 32,779.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078 : 14,115 = 14,115 : x
  2. Step 2: Convert to fraction form
    6,078/14,115 = 14,115/x
  3. Step 3: Cross multiply
    6,078x = 14,115 × 14,115
  4. Step 4: Simplify right side
    6,078x = 199,233,225
  5. Step 5: Solve for x
    x = 199,233,225/6,078
  6. Step 6: Final answer
    x = 32,779.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.