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Finding the Third Proportional to 19,946 and 41,958

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Solution

The third proportional to 19,946 and 41,958 is: 88,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,946 : 41,958 = 41,958 : x
  2. Step 2: Convert to fraction form
    19,946/41,958 = 41,958/x
  3. Step 3: Cross multiply
    19,946x = 41,958 × 41,958
  4. Step 4: Simplify right side
    19,946x = 1,760,473,764
  5. Step 5: Solve for x
    x = 1,760,473,764/19,946
  6. Step 6: Final answer
    x = 88,262.00

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.