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Finding the Third Proportional to 13,192 and 21,036

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Solution

The third proportional to 13,192 and 21,036 is: 33,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192 : 21,036 = 21,036 : x
  2. Step 2: Convert to fraction form
    13,192/21,036 = 21,036/x
  3. Step 3: Cross multiply
    13,192x = 21,036 × 21,036
  4. Step 4: Simplify right side
    13,192x = 442,513,296
  5. Step 5: Solve for x
    x = 442,513,296/13,192
  6. Step 6: Final answer
    x = 33,544.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.