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Finding the Third Proportional to 32,512 and 48,080

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Solution

The third proportional to 32,512 and 48,080 is: 71,102.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,512 : 48,080 = 48,080 : x
  2. Step 2: Convert to fraction form
    32,512/48,080 = 48,080/x
  3. Step 3: Cross multiply
    32,512x = 48,080 × 48,080
  4. Step 4: Simplify right side
    32,512x = 2,311,686,400
  5. Step 5: Solve for x
    x = 2,311,686,400/32,512
  6. Step 6: Final answer
    x = 71,102.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.