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Finding the Third Proportional to 24,344 and 53,978

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Solution

The third proportional to 24,344 and 53,978 is: 119,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,344 : 53,978 = 53,978 : x
  2. Step 2: Convert to fraction form
    24,344/53,978 = 53,978/x
  3. Step 3: Cross multiply
    24,344x = 53,978 × 53,978
  4. Step 4: Simplify right side
    24,344x = 2,913,624,484
  5. Step 5: Solve for x
    x = 2,913,624,484/24,344
  6. Step 6: Final answer
    x = 119,685.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.