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Finding the Third Proportional to 38,012.81 and 54,756.19

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Solution

The third proportional to 38,012.81 and 54,756.19 is: 78,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012.81 : 54,756.19 = 54,756.19 : x
  2. Step 2: Convert to fraction form
    38,012.81/54,756.19 = 54,756.19/x
  3. Step 3: Cross multiply
    38,012.81x = 54,756.19 × 54,756.19
  4. Step 4: Simplify right side
    38,012.81x = 2,998,240,069.54
  5. Step 5: Solve for x
    x = 2,998,240,069.54/38,012.81
  6. Step 6: Final answer
    x = 78,874.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.