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Finding the Third Proportional to 32,223 and 48,333

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Solution

The third proportional to 32,223 and 48,333 is: 72,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,223 : 48,333 = 48,333 : x
  2. Step 2: Convert to fraction form
    32,223/48,333 = 48,333/x
  3. Step 3: Cross multiply
    32,223x = 48,333 × 48,333
  4. Step 4: Simplify right side
    32,223x = 2,336,078,889
  5. Step 5: Solve for x
    x = 2,336,078,889/32,223
  6. Step 6: Final answer
    x = 72,497.25

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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.