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Finding the Third Proportional to 19,684.50 and 40,341

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Solution

The third proportional to 19,684.50 and 40,341 is: 82,674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,684.50 : 40,341 = 40,341 : x
  2. Step 2: Convert to fraction form
    19,684.50/40,341 = 40,341/x
  3. Step 3: Cross multiply
    19,684.50x = 40,341 × 40,341
  4. Step 4: Simplify right side
    19,684.50x = 1,627,396,281
  5. Step 5: Solve for x
    x = 1,627,396,281/19,684.50
  6. Step 6: Final answer
    x = 82,674.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.