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Finding the Third Proportional to 19,821 and 42,504

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Solution

The third proportional to 19,821 and 42,504 is: 91,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821 : 42,504 = 42,504 : x
  2. Step 2: Convert to fraction form
    19,821/42,504 = 42,504/x
  3. Step 3: Cross multiply
    19,821x = 42,504 × 42,504
  4. Step 4: Simplify right side
    19,821x = 1,806,590,016
  5. Step 5: Solve for x
    x = 1,806,590,016/19,821
  6. Step 6: Final answer
    x = 91,145.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.