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Finding the Third Proportional to 38,064 and 54,102

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Solution

The third proportional to 38,064 and 54,102 is: 76,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 54,102 = 54,102 : x
  2. Step 2: Convert to fraction form
    38,064/54,102 = 54,102/x
  3. Step 3: Cross multiply
    38,064x = 54,102 × 54,102
  4. Step 4: Simplify right side
    38,064x = 2,927,026,404
  5. Step 5: Solve for x
    x = 2,927,026,404/38,064
  6. Step 6: Final answer
    x = 76,897.50

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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.