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Finding the Third Proportional to 6,213 and 12,657

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Solution

The third proportional to 6,213 and 12,657 is: 25,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213 : 12,657 = 12,657 : x
  2. Step 2: Convert to fraction form
    6,213/12,657 = 12,657/x
  3. Step 3: Cross multiply
    6,213x = 12,657 × 12,657
  4. Step 4: Simplify right side
    6,213x = 160,199,649
  5. Step 5: Solve for x
    x = 160,199,649/6,213
  6. Step 6: Final answer
    x = 25,784.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.