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Finding the Third Proportional to 38,064 and 84,288

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Solution

The third proportional to 38,064 and 84,288 is: 186,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 84,288 = 84,288 : x
  2. Step 2: Convert to fraction form
    38,064/84,288 = 84,288/x
  3. Step 3: Cross multiply
    38,064x = 84,288 × 84,288
  4. Step 4: Simplify right side
    38,064x = 7,104,466,944
  5. Step 5: Solve for x
    x = 7,104,466,944/38,064
  6. Step 6: Final answer
    x = 186,645.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.