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Finding the Third Proportional to 24,113 and 37,550

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Solution

The third proportional to 24,113 and 37,550 is: 58,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,113 : 37,550 = 37,550 : x
  2. Step 2: Convert to fraction form
    24,113/37,550 = 37,550/x
  3. Step 3: Cross multiply
    24,113x = 37,550 × 37,550
  4. Step 4: Simplify right side
    24,113x = 1,410,002,500
  5. Step 5: Solve for x
    x = 1,410,002,500/24,113
  6. Step 6: Final answer
    x = 58,474.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.