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Finding the Third Proportional to 23,928 and 52,459.50

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Solution

The third proportional to 23,928 and 52,459.50 is: 115,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,928 : 52,459.50 = 52,459.50 : x
  2. Step 2: Convert to fraction form
    23,928/52,459.50 = 52,459.50/x
  3. Step 3: Cross multiply
    23,928x = 52,459.50 × 52,459.50
  4. Step 4: Simplify right side
    23,928x = 2,751,999,140.25
  5. Step 5: Solve for x
    x = 2,751,999,140.25/23,928
  6. Step 6: Final answer
    x = 115,011.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.