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Finding the Third Proportional to 50,337 and 72,024.75

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Solution

The third proportional to 50,337 and 72,024.75 is: 103,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,337 : 72,024.75 = 72,024.75 : x
  2. Step 2: Convert to fraction form
    50,337/72,024.75 = 72,024.75/x
  3. Step 3: Cross multiply
    50,337x = 72,024.75 × 72,024.75
  4. Step 4: Simplify right side
    50,337x = 5,187,564,612.56
  5. Step 5: Solve for x
    x = 5,187,564,612.56/50,337
  6. Step 6: Final answer
    x = 103,056.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.