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Finding the Third Proportional to 38,064 and 81,738.75

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Solution

The third proportional to 38,064 and 81,738.75 is: 175,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064 : 81,738.75 = 81,738.75 : x
  2. Step 2: Convert to fraction form
    38,064/81,738.75 = 81,738.75/x
  3. Step 3: Cross multiply
    38,064x = 81,738.75 × 81,738.75
  4. Step 4: Simplify right side
    38,064x = 6,681,223,251.56
  5. Step 5: Solve for x
    x = 6,681,223,251.56/38,064
  6. Step 6: Final answer
    x = 175,526.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.