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Finding the Third Proportional to 19,880 and 40,684

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Solution

The third proportional to 19,880 and 40,684 is: 83,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,880 : 40,684 = 40,684 : x
  2. Step 2: Convert to fraction form
    19,880/40,684 = 40,684/x
  3. Step 3: Cross multiply
    19,880x = 40,684 × 40,684
  4. Step 4: Simplify right side
    19,880x = 1,655,187,856
  5. Step 5: Solve for x
    x = 1,655,187,856/19,880
  6. Step 6: Final answer
    x = 83,258.95

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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.