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Finding the Third Proportional to 19,829 and 42,925

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Solution

The third proportional to 19,829 and 42,925 is: 92,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829 : 42,925 = 42,925 : x
  2. Step 2: Convert to fraction form
    19,829/42,925 = 42,925/x
  3. Step 3: Cross multiply
    19,829x = 42,925 × 42,925
  4. Step 4: Simplify right side
    19,829x = 1,842,555,625
  5. Step 5: Solve for x
    x = 1,842,555,625/19,829
  6. Step 6: Final answer
    x = 92,922.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.