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Finding the Third Proportional to 19,825 and 43,298

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Solution

The third proportional to 19,825 and 43,298 is: 94,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825 : 43,298 = 43,298 : x
  2. Step 2: Convert to fraction form
    19,825/43,298 = 43,298/x
  3. Step 3: Cross multiply
    19,825x = 43,298 × 43,298
  4. Step 4: Simplify right side
    19,825x = 1,874,716,804
  5. Step 5: Solve for x
    x = 1,874,716,804/19,825
  6. Step 6: Final answer
    x = 94,563.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.