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Finding the Third Proportional to 30,096 and 46,786

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Solution

The third proportional to 30,096 and 46,786 is: 72,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096 : 46,786 = 46,786 : x
  2. Step 2: Convert to fraction form
    30,096/46,786 = 46,786/x
  3. Step 3: Cross multiply
    30,096x = 46,786 × 46,786
  4. Step 4: Simplify right side
    30,096x = 2,188,929,796
  5. Step 5: Solve for x
    x = 2,188,929,796/30,096
  6. Step 6: Final answer
    x = 72,731.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.