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Finding the Third Proportional to 30,966 and 46,519

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Solution

The third proportional to 30,966 and 46,519 is: 69,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,966 : 46,519 = 46,519 : x
  2. Step 2: Convert to fraction form
    30,966/46,519 = 46,519/x
  3. Step 3: Cross multiply
    30,966x = 46,519 × 46,519
  4. Step 4: Simplify right side
    30,966x = 2,164,017,361
  5. Step 5: Solve for x
    x = 2,164,017,361/30,966
  6. Step 6: Final answer
    x = 69,883.66

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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.