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Finding the Third Proportional to 30,804 and 46,425

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Solution

The third proportional to 30,804 and 46,425 is: 69,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804 : 46,425 = 46,425 : x
  2. Step 2: Convert to fraction form
    30,804/46,425 = 46,425/x
  3. Step 3: Cross multiply
    30,804x = 46,425 × 46,425
  4. Step 4: Simplify right side
    30,804x = 2,155,280,625
  5. Step 5: Solve for x
    x = 2,155,280,625/30,804
  6. Step 6: Final answer
    x = 69,967.56

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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.