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Finding the Third Proportional to 30,669 and 46,893

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Solution

The third proportional to 30,669 and 46,893 is: 71,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669 : 46,893 = 46,893 : x
  2. Step 2: Convert to fraction form
    30,669/46,893 = 46,893/x
  3. Step 3: Cross multiply
    30,669x = 46,893 × 46,893
  4. Step 4: Simplify right side
    30,669x = 2,198,953,449
  5. Step 5: Solve for x
    x = 2,198,953,449/30,669
  6. Step 6: Final answer
    x = 71,699.55

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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.