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Finding the Third Proportional to 19,433.81 and 41,202.84

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Solution

The third proportional to 19,433.81 and 41,202.84 is: 87,356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,433.81 : 41,202.84 = 41,202.84 : x
  2. Step 2: Convert to fraction form
    19,433.81/41,202.84 = 41,202.84/x
  3. Step 3: Cross multiply
    19,433.81x = 41,202.84 × 41,202.84
  4. Step 4: Simplify right side
    19,433.81x = 1,697,674,333.09
  5. Step 5: Solve for x
    x = 1,697,674,333.09/19,433.81
  6. Step 6: Final answer
    x = 87,356.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.