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Finding the Third Proportional to 19,629.84 and 40,920.19

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Solution

The third proportional to 19,629.84 and 40,920.19 is: 85,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,629.84 : 40,920.19 = 40,920.19 : x
  2. Step 2: Convert to fraction form
    19,629.84/40,920.19 = 40,920.19/x
  3. Step 3: Cross multiply
    19,629.84x = 40,920.19 × 40,920.19
  4. Step 4: Simplify right side
    19,629.84x = 1,674,461,745.04
  5. Step 5: Solve for x
    x = 1,674,461,745.04/19,629.84
  6. Step 6: Final answer
    x = 85,301.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.