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Finding the Third Proportional to 21,562 and 33,133

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Solution

The third proportional to 21,562 and 33,133 is: 50,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,562 : 33,133 = 33,133 : x
  2. Step 2: Convert to fraction form
    21,562/33,133 = 33,133/x
  3. Step 3: Cross multiply
    21,562x = 33,133 × 33,133
  4. Step 4: Simplify right side
    21,562x = 1,097,795,689
  5. Step 5: Solve for x
    x = 1,097,795,689/21,562
  6. Step 6: Final answer
    x = 50,913.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.