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Finding the Third Proportional to 17,692.88 and 25,809.56

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Solution

The third proportional to 17,692.88 and 25,809.56 is: 37,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.88 : 25,809.56 = 25,809.56 : x
  2. Step 2: Convert to fraction form
    17,692.88/25,809.56 = 25,809.56/x
  3. Step 3: Cross multiply
    17,692.88x = 25,809.56 × 25,809.56
  4. Step 4: Simplify right side
    17,692.88x = 666,133,516.44
  5. Step 5: Solve for x
    x = 666,133,516.44/17,692.88
  6. Step 6: Final answer
    x = 37,649.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.