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Finding the Third Proportional to 23,921.44 and 52,213.50

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Solution

The third proportional to 23,921.44 and 52,213.50 is: 113,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,921.44 : 52,213.50 = 52,213.50 : x
  2. Step 2: Convert to fraction form
    23,921.44/52,213.50 = 52,213.50/x
  3. Step 3: Cross multiply
    23,921.44x = 52,213.50 × 52,213.50
  4. Step 4: Simplify right side
    23,921.44x = 2,726,249,582.25
  5. Step 5: Solve for x
    x = 2,726,249,582.25/23,921.44
  6. Step 6: Final answer
    x = 113,966.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.