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Finding the Third Proportional to 20,817 and 33,295.50

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Solution

The third proportional to 20,817 and 33,295.50 is: 53,254.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,817 : 33,295.50 = 33,295.50 : x
  2. Step 2: Convert to fraction form
    20,817/33,295.50 = 33,295.50/x
  3. Step 3: Cross multiply
    20,817x = 33,295.50 × 33,295.50
  4. Step 4: Simplify right side
    20,817x = 1,108,590,320.25
  5. Step 5: Solve for x
    x = 1,108,590,320.25/20,817
  6. Step 6: Final answer
    x = 53,254.09

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.