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Finding the Third Proportional to 31,032 and 48,096

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Solution

The third proportional to 31,032 and 48,096 is: 74,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,032 : 48,096 = 48,096 : x
  2. Step 2: Convert to fraction form
    31,032/48,096 = 48,096/x
  3. Step 3: Cross multiply
    31,032x = 48,096 × 48,096
  4. Step 4: Simplify right side
    31,032x = 2,313,225,216
  5. Step 5: Solve for x
    x = 2,313,225,216/31,032
  6. Step 6: Final answer
    x = 74,543.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.