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Finding the Third Proportional to 23,676.75 and 52,273.50

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Solution

The third proportional to 23,676.75 and 52,273.50 is: 115,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,676.75 : 52,273.50 = 52,273.50 : x
  2. Step 2: Convert to fraction form
    23,676.75/52,273.50 = 52,273.50/x
  3. Step 3: Cross multiply
    23,676.75x = 52,273.50 × 52,273.50
  4. Step 4: Simplify right side
    23,676.75x = 2,732,518,802.25
  5. Step 5: Solve for x
    x = 2,732,518,802.25/23,676.75
  6. Step 6: Final answer
    x = 115,409.37

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.