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Finding the Third Proportional to 38,064 and 54,101

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Solution

The third proportional to 38,064 and 54,101 is: 76,894.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 54,101 = 54,101 : x
  2. Step 2: Convert to fraction form
    38,064/54,101 = 54,101/x
  3. Step 3: Cross multiply
    38,064x = 54,101 × 54,101
  4. Step 4: Simplify right side
    38,064x = 2,926,918,201
  5. Step 5: Solve for x
    x = 2,926,918,201/38,064
  6. Step 6: Final answer
    x = 76,894.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.