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Finding the Third Proportional to 23,530.50 and 34,546.50

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Solution

The third proportional to 23,530.50 and 34,546.50 is: 50,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.50 : 34,546.50 = 34,546.50 : x
  2. Step 2: Convert to fraction form
    23,530.50/34,546.50 = 34,546.50/x
  3. Step 3: Cross multiply
    23,530.50x = 34,546.50 × 34,546.50
  4. Step 4: Simplify right side
    23,530.50x = 1,193,460,662.25
  5. Step 5: Solve for x
    x = 1,193,460,662.25/23,530.50
  6. Step 6: Final answer
    x = 50,719.73

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.