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Finding the Third Proportional to 21,003 and 33,273.50

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Solution

The third proportional to 21,003 and 33,273.50 is: 52,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003 : 33,273.50 = 33,273.50 : x
  2. Step 2: Convert to fraction form
    21,003/33,273.50 = 33,273.50/x
  3. Step 3: Cross multiply
    21,003x = 33,273.50 × 33,273.50
  4. Step 4: Simplify right side
    21,003x = 1,107,125,802.25
  5. Step 5: Solve for x
    x = 1,107,125,802.25/21,003
  6. Step 6: Final answer
    x = 52,712.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.