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Finding the Third Proportional to 24,812 and 37,223

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Solution

The third proportional to 24,812 and 37,223 is: 55,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812 : 37,223 = 37,223 : x
  2. Step 2: Convert to fraction form
    24,812/37,223 = 37,223/x
  3. Step 3: Cross multiply
    24,812x = 37,223 × 37,223
  4. Step 4: Simplify right side
    24,812x = 1,385,551,729
  5. Step 5: Solve for x
    x = 1,385,551,729/24,812
  6. Step 6: Final answer
    x = 55,842.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.