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Finding the Third Proportional to 31,224 and 46,837

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Solution

The third proportional to 31,224 and 46,837 is: 70,257.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224 : 46,837 = 46,837 : x
  2. Step 2: Convert to fraction form
    31,224/46,837 = 46,837/x
  3. Step 3: Cross multiply
    31,224x = 46,837 × 46,837
  4. Step 4: Simplify right side
    31,224x = 2,193,704,569
  5. Step 5: Solve for x
    x = 2,193,704,569/31,224
  6. Step 6: Final answer
    x = 70,257.00

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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.