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Finding the Third Proportional to 4,946 and 7,438

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Solution

The third proportional to 4,946 and 7,438 is: 11,185.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946 : 7,438 = 7,438 : x
  2. Step 2: Convert to fraction form
    4,946/7,438 = 7,438/x
  3. Step 3: Cross multiply
    4,946x = 7,438 × 7,438
  4. Step 4: Simplify right side
    4,946x = 55,323,844
  5. Step 5: Solve for x
    x = 55,323,844/4,946
  6. Step 6: Final answer
    x = 11,185.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.