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Finding the Third Proportional to 19,517 and 40,418

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Solution

The third proportional to 19,517 and 40,418 is: 83,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,517 : 40,418 = 40,418 : x
  2. Step 2: Convert to fraction form
    19,517/40,418 = 40,418/x
  3. Step 3: Cross multiply
    19,517x = 40,418 × 40,418
  4. Step 4: Simplify right side
    19,517x = 1,633,614,724
  5. Step 5: Solve for x
    x = 1,633,614,724/19,517
  6. Step 6: Final answer
    x = 83,702.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.