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Finding the Third Proportional to 23,085 and 50,719.50

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Solution

The third proportional to 23,085 and 50,719.50 is: 111,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,085 : 50,719.50 = 50,719.50 : x
  2. Step 2: Convert to fraction form
    23,085/50,719.50 = 50,719.50/x
  3. Step 3: Cross multiply
    23,085x = 50,719.50 × 50,719.50
  4. Step 4: Simplify right side
    23,085x = 2,572,467,680.25
  5. Step 5: Solve for x
    x = 2,572,467,680.25/23,085
  6. Step 6: Final answer
    x = 111,434.60

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.