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Finding the Third Proportional to 30,873 and 46,743

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Solution

The third proportional to 30,873 and 46,743 is: 70,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,873 : 46,743 = 46,743 : x
  2. Step 2: Convert to fraction form
    30,873/46,743 = 46,743/x
  3. Step 3: Cross multiply
    30,873x = 46,743 × 46,743
  4. Step 4: Simplify right side
    30,873x = 2,184,908,049
  5. Step 5: Solve for x
    x = 2,184,908,049/30,873
  6. Step 6: Final answer
    x = 70,770.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.