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Finding the Third Proportional to 30,482 and 70,832

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Solution

The third proportional to 30,482 and 70,832 is: 164,594.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482 : 70,832 = 70,832 : x
  2. Step 2: Convert to fraction form
    30,482/70,832 = 70,832/x
  3. Step 3: Cross multiply
    30,482x = 70,832 × 70,832
  4. Step 4: Simplify right side
    30,482x = 5,017,172,224
  5. Step 5: Solve for x
    x = 5,017,172,224/30,482
  6. Step 6: Final answer
    x = 164,594.59

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.