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Finding the Third Proportional to 4,946 and 7,677

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Solution

The third proportional to 4,946 and 7,677 is: 11,915.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946 : 7,677 = 7,677 : x
  2. Step 2: Convert to fraction form
    4,946/7,677 = 7,677/x
  3. Step 3: Cross multiply
    4,946x = 7,677 × 7,677
  4. Step 4: Simplify right side
    4,946x = 58,936,329
  5. Step 5: Solve for x
    x = 58,936,329/4,946
  6. Step 6: Final answer
    x = 11,915.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.