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Finding the Third Proportional to 31,705 and 48,923

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Solution

The third proportional to 31,705 and 48,923 is: 75,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705 : 48,923 = 48,923 : x
  2. Step 2: Convert to fraction form
    31,705/48,923 = 48,923/x
  3. Step 3: Cross multiply
    31,705x = 48,923 × 48,923
  4. Step 4: Simplify right side
    31,705x = 2,393,459,929
  5. Step 5: Solve for x
    x = 2,393,459,929/31,705
  6. Step 6: Final answer
    x = 75,491.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.