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Finding the Third Proportional to 4,946 and 6,677

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Solution

The third proportional to 4,946 and 6,677 is: 9,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946 : 6,677 = 6,677 : x
  2. Step 2: Convert to fraction form
    4,946/6,677 = 6,677/x
  3. Step 3: Cross multiply
    4,946x = 6,677 × 6,677
  4. Step 4: Simplify right side
    4,946x = 44,582,329
  5. Step 5: Solve for x
    x = 44,582,329/4,946
  6. Step 6: Final answer
    x = 9,013.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.