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Finding the Third Proportional to 30,586.50 and 44,772.75

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Solution

The third proportional to 30,586.50 and 44,772.75 is: 65,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,586.50 : 44,772.75 = 44,772.75 : x
  2. Step 2: Convert to fraction form
    30,586.50/44,772.75 = 44,772.75/x
  3. Step 3: Cross multiply
    30,586.50x = 44,772.75 × 44,772.75
  4. Step 4: Simplify right side
    30,586.50x = 2,004,599,142.56
  5. Step 5: Solve for x
    x = 2,004,599,142.56/30,586.50
  6. Step 6: Final answer
    x = 65,538.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.