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Finding the Third Proportional to 24,068 and 57,978

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Solution

The third proportional to 24,068 and 57,978 is: 139,664.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,068 : 57,978 = 57,978 : x
  2. Step 2: Convert to fraction form
    24,068/57,978 = 57,978/x
  3. Step 3: Cross multiply
    24,068x = 57,978 × 57,978
  4. Step 4: Simplify right side
    24,068x = 3,361,448,484
  5. Step 5: Solve for x
    x = 3,361,448,484/24,068
  6. Step 6: Final answer
    x = 139,664.64

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.