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Finding the Third Proportional to 38,064 and 54,810

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Solution

The third proportional to 38,064 and 54,810 is: 78,923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 54,810 = 54,810 : x
  2. Step 2: Convert to fraction form
    38,064/54,810 = 54,810/x
  3. Step 3: Cross multiply
    38,064x = 54,810 × 54,810
  4. Step 4: Simplify right side
    38,064x = 3,004,136,100
  5. Step 5: Solve for x
    x = 3,004,136,100/38,064
  6. Step 6: Final answer
    x = 78,923.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.