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Finding the Third Proportional to 30,936 and 46,288

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Solution

The third proportional to 30,936 and 46,288 is: 69,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,936 : 46,288 = 46,288 : x
  2. Step 2: Convert to fraction form
    30,936/46,288 = 46,288/x
  3. Step 3: Cross multiply
    30,936x = 46,288 × 46,288
  4. Step 4: Simplify right side
    30,936x = 2,142,578,944
  5. Step 5: Solve for x
    x = 2,142,578,944/30,936
  6. Step 6: Final answer
    x = 69,258.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.