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Finding the Third Proportional to 23,217.75 and 52,447.50

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Solution

The third proportional to 23,217.75 and 52,447.50 is: 118,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,217.75 : 52,447.50 = 52,447.50 : x
  2. Step 2: Convert to fraction form
    23,217.75/52,447.50 = 52,447.50/x
  3. Step 3: Cross multiply
    23,217.75x = 52,447.50 × 52,447.50
  4. Step 4: Simplify right side
    23,217.75x = 2,750,740,256.25
  5. Step 5: Solve for x
    x = 2,750,740,256.25/23,217.75
  6. Step 6: Final answer
    x = 118,475.75

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.