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Finding the Third Proportional to 21,829.50 and 47,136.94

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Solution

The third proportional to 21,829.50 and 47,136.94 is: 101,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,829.50 : 47,136.94 = 47,136.94 : x
  2. Step 2: Convert to fraction form
    21,829.50/47,136.94 = 47,136.94/x
  3. Step 3: Cross multiply
    21,829.50x = 47,136.94 × 47,136.94
  4. Step 4: Simplify right side
    21,829.50x = 2,221,890,876.88
  5. Step 5: Solve for x
    x = 2,221,890,876.88/21,829.50
  6. Step 6: Final answer
    x = 101,783.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.