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Finding the Third Proportional to 30,496 and 33,664

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Solution

The third proportional to 30,496 and 33,664 is: 37,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496 : 33,664 = 33,664 : x
  2. Step 2: Convert to fraction form
    30,496/33,664 = 33,664/x
  3. Step 3: Cross multiply
    30,496x = 33,664 × 33,664
  4. Step 4: Simplify right side
    30,496x = 1,133,264,896
  5. Step 5: Solve for x
    x = 1,133,264,896/30,496
  6. Step 6: Final answer
    x = 37,161.10

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.