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Finding the Third Proportional to 21,153 and 47,033.50

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Solution

The third proportional to 21,153 and 47,033.50 is: 104,578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153 : 47,033.50 = 47,033.50 : x
  2. Step 2: Convert to fraction form
    21,153/47,033.50 = 47,033.50/x
  3. Step 3: Cross multiply
    21,153x = 47,033.50 × 47,033.50
  4. Step 4: Simplify right side
    21,153x = 2,212,150,122.25
  5. Step 5: Solve for x
    x = 2,212,150,122.25/21,153
  6. Step 6: Final answer
    x = 104,578.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.