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Finding the Third Proportional to 30,762 and 43,990

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Solution

The third proportional to 30,762 and 43,990 is: 62,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762 : 43,990 = 43,990 : x
  2. Step 2: Convert to fraction form
    30,762/43,990 = 43,990/x
  3. Step 3: Cross multiply
    30,762x = 43,990 × 43,990
  4. Step 4: Simplify right side
    30,762x = 1,935,120,100
  5. Step 5: Solve for x
    x = 1,935,120,100/30,762
  6. Step 6: Final answer
    x = 62,906.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.