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Finding the Third Proportional to 2,978 and 4,723

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Solution

The third proportional to 2,978 and 4,723 is: 7,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978 : 4,723 = 4,723 : x
  2. Step 2: Convert to fraction form
    2,978/4,723 = 4,723/x
  3. Step 3: Cross multiply
    2,978x = 4,723 × 4,723
  4. Step 4: Simplify right side
    2,978x = 22,306,729
  5. Step 5: Solve for x
    x = 22,306,729/2,978
  6. Step 6: Final answer
    x = 7,490.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.