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Finding the Third Proportional to 19,769 and 42,652

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Solution

The third proportional to 19,769 and 42,652 is: 92,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769 : 42,652 = 42,652 : x
  2. Step 2: Convert to fraction form
    19,769/42,652 = 42,652/x
  3. Step 3: Cross multiply
    19,769x = 42,652 × 42,652
  4. Step 4: Simplify right side
    19,769x = 1,819,193,104
  5. Step 5: Solve for x
    x = 1,819,193,104/19,769
  6. Step 6: Final answer
    x = 92,022.52

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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.