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Finding the Third Proportional to 19,850 and 43,420

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Solution

The third proportional to 19,850 and 43,420 is: 94,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,850 : 43,420 = 43,420 : x
  2. Step 2: Convert to fraction form
    19,850/43,420 = 43,420/x
  3. Step 3: Cross multiply
    19,850x = 43,420 × 43,420
  4. Step 4: Simplify right side
    19,850x = 1,885,296,400
  5. Step 5: Solve for x
    x = 1,885,296,400/19,850
  6. Step 6: Final answer
    x = 94,977.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.