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Finding the Third Proportional to 29,619 and 44,563.50

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Solution

The third proportional to 29,619 and 44,563.50 is: 67,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,619 : 44,563.50 = 44,563.50 : x
  2. Step 2: Convert to fraction form
    29,619/44,563.50 = 44,563.50/x
  3. Step 3: Cross multiply
    29,619x = 44,563.50 × 44,563.50
  4. Step 4: Simplify right side
    29,619x = 1,985,905,532.25
  5. Step 5: Solve for x
    x = 1,985,905,532.25/29,619
  6. Step 6: Final answer
    x = 67,048.37

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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.