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Finding the Third Proportional to 21,964 and 33,136

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Solution

The third proportional to 21,964 and 33,136 is: 49,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,964 : 33,136 = 33,136 : x
  2. Step 2: Convert to fraction form
    21,964/33,136 = 33,136/x
  3. Step 3: Cross multiply
    21,964x = 33,136 × 33,136
  4. Step 4: Simplify right side
    21,964x = 1,097,994,496
  5. Step 5: Solve for x
    x = 1,097,994,496/21,964
  6. Step 6: Final answer
    x = 49,990.64

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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.