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Finding the Third Proportional to 30,450 and 45,551

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Solution

The third proportional to 30,450 and 45,551 is: 68,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450 : 45,551 = 45,551 : x
  2. Step 2: Convert to fraction form
    30,450/45,551 = 45,551/x
  3. Step 3: Cross multiply
    30,450x = 45,551 × 45,551
  4. Step 4: Simplify right side
    30,450x = 2,074,893,601
  5. Step 5: Solve for x
    x = 2,074,893,601/30,450
  6. Step 6: Final answer
    x = 68,141.00

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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.