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Finding the Third Proportional to 31,844 and 48,495

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Solution

The third proportional to 31,844 and 48,495 is: 73,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,844 : 48,495 = 48,495 : x
  2. Step 2: Convert to fraction form
    31,844/48,495 = 48,495/x
  3. Step 3: Cross multiply
    31,844x = 48,495 × 48,495
  4. Step 4: Simplify right side
    31,844x = 2,351,765,025
  5. Step 5: Solve for x
    x = 2,351,765,025/31,844
  6. Step 6: Final answer
    x = 73,852.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.