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Finding the Third Proportional to 21,530 and 32,500

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Solution

The third proportional to 21,530 and 32,500 is: 49,059.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,530 : 32,500 = 32,500 : x
  2. Step 2: Convert to fraction form
    21,530/32,500 = 32,500/x
  3. Step 3: Cross multiply
    21,530x = 32,500 × 32,500
  4. Step 4: Simplify right side
    21,530x = 1,056,250,000
  5. Step 5: Solve for x
    x = 1,056,250,000/21,530
  6. Step 6: Final answer
    x = 49,059.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.