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Finding the Third Proportional to 20,997 and 45,877.50

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Solution

The third proportional to 20,997 and 45,877.50 is: 100,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997 : 45,877.50 = 45,877.50 : x
  2. Step 2: Convert to fraction form
    20,997/45,877.50 = 45,877.50/x
  3. Step 3: Cross multiply
    20,997x = 45,877.50 × 45,877.50
  4. Step 4: Simplify right side
    20,997x = 2,104,745,006.25
  5. Step 5: Solve for x
    x = 2,104,745,006.25/20,997
  6. Step 6: Final answer
    x = 100,240.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.