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Finding the Third Proportional to 24,236 and 51,978

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Solution

The third proportional to 24,236 and 51,978 is: 111,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,236 : 51,978 = 51,978 : x
  2. Step 2: Convert to fraction form
    24,236/51,978 = 51,978/x
  3. Step 3: Cross multiply
    24,236x = 51,978 × 51,978
  4. Step 4: Simplify right side
    24,236x = 2,701,712,484
  5. Step 5: Solve for x
    x = 2,701,712,484/24,236
  6. Step 6: Final answer
    x = 111,475.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.