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Finding the Third Proportional to 19,824 and 43,202

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Solution

The third proportional to 19,824 and 43,202 is: 94,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,824 : 43,202 = 43,202 : x
  2. Step 2: Convert to fraction form
    19,824/43,202 = 43,202/x
  3. Step 3: Cross multiply
    19,824x = 43,202 × 43,202
  4. Step 4: Simplify right side
    19,824x = 1,866,412,804
  5. Step 5: Solve for x
    x = 1,866,412,804/19,824
  6. Step 6: Final answer
    x = 94,149.15

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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.