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Finding the Third Proportional to 33,583.50 and 51,043.50

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Solution

The third proportional to 33,583.50 and 51,043.50 is: 77,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,583.50 : 51,043.50 = 51,043.50 : x
  2. Step 2: Convert to fraction form
    33,583.50/51,043.50 = 51,043.50/x
  3. Step 3: Cross multiply
    33,583.50x = 51,043.50 × 51,043.50
  4. Step 4: Simplify right side
    33,583.50x = 2,605,438,892.25
  5. Step 5: Solve for x
    x = 2,605,438,892.25/33,583.50
  6. Step 6: Final answer
    x = 77,580.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.