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Finding the Third Proportional to 28,096 and 42,062

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Solution

The third proportional to 28,096 and 42,062 is: 62,970.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,096 : 42,062 = 42,062 : x
  2. Step 2: Convert to fraction form
    28,096/42,062 = 42,062/x
  3. Step 3: Cross multiply
    28,096x = 42,062 × 42,062
  4. Step 4: Simplify right side
    28,096x = 1,769,211,844
  5. Step 5: Solve for x
    x = 1,769,211,844/28,096
  6. Step 6: Final answer
    x = 62,970.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.