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Finding the Third Proportional to 23,206.50 and 53,353.69

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Solution

The third proportional to 23,206.50 and 53,353.69 is: 122,664.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,206.50 : 53,353.69 = 53,353.69 : x
  2. Step 2: Convert to fraction form
    23,206.50/53,353.69 = 53,353.69/x
  3. Step 3: Cross multiply
    23,206.50x = 53,353.69 × 53,353.69
  4. Step 4: Simplify right side
    23,206.50x = 2,846,615,969.85
  5. Step 5: Solve for x
    x = 2,846,615,969.85/23,206.50
  6. Step 6: Final answer
    x = 122,664.60

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.