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Finding the Third Proportional to 21,577.88 and 33,121.50

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Solution

The third proportional to 21,577.88 and 33,121.50 is: 50,840.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,577.88 : 33,121.50 = 33,121.50 : x
  2. Step 2: Convert to fraction form
    21,577.88/33,121.50 = 33,121.50/x
  3. Step 3: Cross multiply
    21,577.88x = 33,121.50 × 33,121.50
  4. Step 4: Simplify right side
    21,577.88x = 1,097,033,762.25
  5. Step 5: Solve for x
    x = 1,097,033,762.25/21,577.88
  6. Step 6: Final answer
    x = 50,840.68

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.