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Finding the Third Proportional to 29,675 and 46,214

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Solution

The third proportional to 29,675 and 46,214 is: 71,970.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,675 : 46,214 = 46,214 : x
  2. Step 2: Convert to fraction form
    29,675/46,214 = 46,214/x
  3. Step 3: Cross multiply
    29,675x = 46,214 × 46,214
  4. Step 4: Simplify right side
    29,675x = 2,135,733,796
  5. Step 5: Solve for x
    x = 2,135,733,796/29,675
  6. Step 6: Final answer
    x = 71,970.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.