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Finding the Third Proportional to 23,780.25 and 35,604.56

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Solution

The third proportional to 23,780.25 and 35,604.56 is: 53,308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,780.25 : 35,604.56 = 35,604.56 : x
  2. Step 2: Convert to fraction form
    23,780.25/35,604.56 = 35,604.56/x
  3. Step 3: Cross multiply
    23,780.25x = 35,604.56 × 35,604.56
  4. Step 4: Simplify right side
    23,780.25x = 1,267,684,870.82
  5. Step 5: Solve for x
    x = 1,267,684,870.82/23,780.25
  6. Step 6: Final answer
    x = 53,308.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.