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Finding the Third Proportional to 25,314.19 and 58,604.34

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Solution

The third proportional to 25,314.19 and 58,604.34 is: 135,673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,314.19 : 58,604.34 = 58,604.34 : x
  2. Step 2: Convert to fraction form
    25,314.19/58,604.34 = 58,604.34/x
  3. Step 3: Cross multiply
    25,314.19x = 58,604.34 × 58,604.34
  4. Step 4: Simplify right side
    25,314.19x = 3,434,469,106.37
  5. Step 5: Solve for x
    x = 3,434,469,106.37/25,314.19
  6. Step 6: Final answer
    x = 135,673.69

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.