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Finding the Third Proportional to 42,112 and 48,064

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Solution

The third proportional to 42,112 and 48,064 is: 54,857.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,112 : 48,064 = 48,064 : x
  2. Step 2: Convert to fraction form
    42,112/48,064 = 48,064/x
  3. Step 3: Cross multiply
    42,112x = 48,064 × 48,064
  4. Step 4: Simplify right side
    42,112x = 2,310,148,096
  5. Step 5: Solve for x
    x = 2,310,148,096/42,112
  6. Step 6: Final answer
    x = 54,857.24

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.