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Finding the Third Proportional to 19,391 and 42,064

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Solution

The third proportional to 19,391 and 42,064 is: 91,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,391 : 42,064 = 42,064 : x
  2. Step 2: Convert to fraction form
    19,391/42,064 = 42,064/x
  3. Step 3: Cross multiply
    19,391x = 42,064 × 42,064
  4. Step 4: Simplify right side
    19,391x = 1,769,380,096
  5. Step 5: Solve for x
    x = 1,769,380,096/19,391
  6. Step 6: Final answer
    x = 91,247.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.