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Finding the Third Proportional to 31,056 and 46,728

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Solution

The third proportional to 31,056 and 46,728 is: 70,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,056 : 46,728 = 46,728 : x
  2. Step 2: Convert to fraction form
    31,056/46,728 = 46,728/x
  3. Step 3: Cross multiply
    31,056x = 46,728 × 46,728
  4. Step 4: Simplify right side
    31,056x = 2,183,505,984
  5. Step 5: Solve for x
    x = 2,183,505,984/31,056
  6. Step 6: Final answer
    x = 70,308.67

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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.