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Finding the Third Proportional to 19,666 and 43,164

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Solution

The third proportional to 19,666 and 43,164 is: 94,738.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666 : 43,164 = 43,164 : x
  2. Step 2: Convert to fraction form
    19,666/43,164 = 43,164/x
  3. Step 3: Cross multiply
    19,666x = 43,164 × 43,164
  4. Step 4: Simplify right side
    19,666x = 1,863,130,896
  5. Step 5: Solve for x
    x = 1,863,130,896/19,666
  6. Step 6: Final answer
    x = 94,738.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.