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Finding the Third Proportional to 30,645 and 46,859

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Solution

The third proportional to 30,645 and 46,859 is: 71,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 46,859 = 46,859 : x
  2. Step 2: Convert to fraction form
    30,645/46,859 = 46,859/x
  3. Step 3: Cross multiply
    30,645x = 46,859 × 46,859
  4. Step 4: Simplify right side
    30,645x = 2,195,765,881
  5. Step 5: Solve for x
    x = 2,195,765,881/30,645
  6. Step 6: Final answer
    x = 71,651.68

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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.