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Finding the Third Proportional to 31,224.50 and 47,619

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Solution

The third proportional to 31,224.50 and 47,619 is: 72,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,224.50 : 47,619 = 47,619 : x
  2. Step 2: Convert to fraction form
    31,224.50/47,619 = 47,619/x
  3. Step 3: Cross multiply
    31,224.50x = 47,619 × 47,619
  4. Step 4: Simplify right side
    31,224.50x = 2,267,569,161
  5. Step 5: Solve for x
    x = 2,267,569,161/31,224.50
  6. Step 6: Final answer
    x = 72,621.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.