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Finding the Third Proportional to 46,698 and 71,411

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Solution

The third proportional to 46,698 and 71,411 is: 109,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,698 : 71,411 = 71,411 : x
  2. Step 2: Convert to fraction form
    46,698/71,411 = 71,411/x
  3. Step 3: Cross multiply
    46,698x = 71,411 × 71,411
  4. Step 4: Simplify right side
    46,698x = 5,099,530,921
  5. Step 5: Solve for x
    x = 5,099,530,921/46,698
  6. Step 6: Final answer
    x = 109,202.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.