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Finding the Third Proportional to 30,791 and 46,407

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Solution

The third proportional to 30,791 and 46,407 is: 69,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,791 : 46,407 = 46,407 : x
  2. Step 2: Convert to fraction form
    30,791/46,407 = 46,407/x
  3. Step 3: Cross multiply
    30,791x = 46,407 × 46,407
  4. Step 4: Simplify right side
    30,791x = 2,153,609,649
  5. Step 5: Solve for x
    x = 2,153,609,649/30,791
  6. Step 6: Final answer
    x = 69,942.83

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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.