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Finding the Third Proportional to 6,114 and 8,507

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Solution

The third proportional to 6,114 and 8,507 is: 11,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114 : 8,507 = 8,507 : x
  2. Step 2: Convert to fraction form
    6,114/8,507 = 8,507/x
  3. Step 3: Cross multiply
    6,114x = 8,507 × 8,507
  4. Step 4: Simplify right side
    6,114x = 72,369,049
  5. Step 5: Solve for x
    x = 72,369,049/6,114
  6. Step 6: Final answer
    x = 11,836.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.