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Finding the Third Proportional to 30,924 and 46,974

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Solution

The third proportional to 30,924 and 46,974 is: 71,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,924 : 46,974 = 46,974 : x
  2. Step 2: Convert to fraction form
    30,924/46,974 = 46,974/x
  3. Step 3: Cross multiply
    30,924x = 46,974 × 46,974
  4. Step 4: Simplify right side
    30,924x = 2,206,556,676
  5. Step 5: Solve for x
    x = 2,206,556,676/30,924
  6. Step 6: Final answer
    x = 71,354.18

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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.