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Finding the Third Proportional to 38,682.75 and 52,192.13

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Solution

The third proportional to 38,682.75 and 52,192.13 is: 70,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,682.75 : 52,192.13 = 52,192.13 : x
  2. Step 2: Convert to fraction form
    38,682.75/52,192.13 = 52,192.13/x
  3. Step 3: Cross multiply
    38,682.75x = 52,192.13 × 52,192.13
  4. Step 4: Simplify right side
    38,682.75x = 2,724,017,912.02
  5. Step 5: Solve for x
    x = 2,724,017,912.02/38,682.75
  6. Step 6: Final answer
    x = 70,419.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.