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Finding the Third Proportional to 30,962 and 73,835

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Solution

The third proportional to 30,962 and 73,835 is: 176,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,962 : 73,835 = 73,835 : x
  2. Step 2: Convert to fraction form
    30,962/73,835 = 73,835/x
  3. Step 3: Cross multiply
    30,962x = 73,835 × 73,835
  4. Step 4: Simplify right side
    30,962x = 5,451,607,225
  5. Step 5: Solve for x
    x = 5,451,607,225/30,962
  6. Step 6: Final answer
    x = 176,074.13

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.