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Finding the Third Proportional to 28,800 and 42,978

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Solution

The third proportional to 28,800 and 42,978 is: 64,135.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,800 : 42,978 = 42,978 : x
  2. Step 2: Convert to fraction form
    28,800/42,978 = 42,978/x
  3. Step 3: Cross multiply
    28,800x = 42,978 × 42,978
  4. Step 4: Simplify right side
    28,800x = 1,847,108,484
  5. Step 5: Solve for x
    x = 1,847,108,484/28,800
  6. Step 6: Final answer
    x = 64,135.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.