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Finding the Third Proportional to 30,922 and 46,973

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Solution

The third proportional to 30,922 and 46,973 is: 71,355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922 : 46,973 = 46,973 : x
  2. Step 2: Convert to fraction form
    30,922/46,973 = 46,973/x
  3. Step 3: Cross multiply
    30,922x = 46,973 × 46,973
  4. Step 4: Simplify right side
    30,922x = 2,206,462,729
  5. Step 5: Solve for x
    x = 2,206,462,729/30,922
  6. Step 6: Final answer
    x = 71,355.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.