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Finding the Third Proportional to 21,960 and 33,133

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Solution

The third proportional to 21,960 and 33,133 is: 49,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,960 : 33,133 = 33,133 : x
  2. Step 2: Convert to fraction form
    21,960/33,133 = 33,133/x
  3. Step 3: Cross multiply
    21,960x = 33,133 × 33,133
  4. Step 4: Simplify right side
    21,960x = 1,097,795,689
  5. Step 5: Solve for x
    x = 1,097,795,689/21,960
  6. Step 6: Final answer
    x = 49,990.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.