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Finding the Third Proportional to 19,825 and 43,106

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Solution

The third proportional to 19,825 and 43,106 is: 93,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,825 : 43,106 = 43,106 : x
  2. Step 2: Convert to fraction form
    19,825/43,106 = 43,106/x
  3. Step 3: Cross multiply
    19,825x = 43,106 × 43,106
  4. Step 4: Simplify right side
    19,825x = 1,858,127,236
  5. Step 5: Solve for x
    x = 1,858,127,236/19,825
  6. Step 6: Final answer
    x = 93,726.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.