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Finding the Third Proportional to 21,867 and 47,431.50

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Solution

The third proportional to 21,867 and 47,431.50 is: 102,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,867 : 47,431.50 = 47,431.50 : x
  2. Step 2: Convert to fraction form
    21,867/47,431.50 = 47,431.50/x
  3. Step 3: Cross multiply
    21,867x = 47,431.50 × 47,431.50
  4. Step 4: Simplify right side
    21,867x = 2,249,747,192.25
  5. Step 5: Solve for x
    x = 2,249,747,192.25/21,867
  6. Step 6: Final answer
    x = 102,883.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.