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Finding the Third Proportional to 23,674.50 and 52,604.50

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Solution

The third proportional to 23,674.50 and 52,604.50 is: 116,886.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,674.50 : 52,604.50 = 52,604.50 : x
  2. Step 2: Convert to fraction form
    23,674.50/52,604.50 = 52,604.50/x
  3. Step 3: Cross multiply
    23,674.50x = 52,604.50 × 52,604.50
  4. Step 4: Simplify right side
    23,674.50x = 2,767,233,420.25
  5. Step 5: Solve for x
    x = 2,767,233,420.25/23,674.50
  6. Step 6: Final answer
    x = 116,886.67

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.