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Finding the Third Proportional to 19,808 and 46,064

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Solution

The third proportional to 19,808 and 46,064 is: 107,122.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808 : 46,064 = 46,064 : x
  2. Step 2: Convert to fraction form
    19,808/46,064 = 46,064/x
  3. Step 3: Cross multiply
    19,808x = 46,064 × 46,064
  4. Step 4: Simplify right side
    19,808x = 2,121,892,096
  5. Step 5: Solve for x
    x = 2,121,892,096/19,808
  6. Step 6: Final answer
    x = 107,122.99

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.