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Finding the Third Proportional to 6,414 and 12,558

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Solution

The third proportional to 6,414 and 12,558 is: 24,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414 : 12,558 = 12,558 : x
  2. Step 2: Convert to fraction form
    6,414/12,558 = 12,558/x
  3. Step 3: Cross multiply
    6,414x = 12,558 × 12,558
  4. Step 4: Simplify right side
    6,414x = 157,703,364
  5. Step 5: Solve for x
    x = 157,703,364/6,414
  6. Step 6: Final answer
    x = 24,587.37

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.