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Finding the Third Proportional to 19,370 and 28,978

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Solution

The third proportional to 19,370 and 28,978 is: 43,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,370 : 28,978 = 28,978 : x
  2. Step 2: Convert to fraction form
    19,370/28,978 = 28,978/x
  3. Step 3: Cross multiply
    19,370x = 28,978 × 28,978
  4. Step 4: Simplify right side
    19,370x = 839,724,484
  5. Step 5: Solve for x
    x = 839,724,484/19,370
  6. Step 6: Final answer
    x = 43,351.81

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