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Finding the Third Proportional to 23,522.63 and 50,738.63

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Solution

The third proportional to 23,522.63 and 50,738.63 is: 109,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.63 : 50,738.63 = 50,738.63 : x
  2. Step 2: Convert to fraction form
    23,522.63/50,738.63 = 50,738.63/x
  3. Step 3: Cross multiply
    23,522.63x = 50,738.63 × 50,738.63
  4. Step 4: Simplify right side
    23,522.63x = 2,574,408,066.89
  5. Step 5: Solve for x
    x = 2,574,408,066.89/23,522.63
  6. Step 6: Final answer
    x = 109,443.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.