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Finding the Third Proportional to 11,325 and 23,446.50

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Solution

The third proportional to 11,325 and 23,446.50 is: 48,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,325 : 23,446.50 = 23,446.50 : x
  2. Step 2: Convert to fraction form
    11,325/23,446.50 = 23,446.50/x
  3. Step 3: Cross multiply
    11,325x = 23,446.50 × 23,446.50
  4. Step 4: Simplify right side
    11,325x = 549,738,362.25
  5. Step 5: Solve for x
    x = 549,738,362.25/11,325
  6. Step 6: Final answer
    x = 48,542.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.