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Finding the Third Proportional to 23,784 and 36,571.50

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Solution

The third proportional to 23,784 and 36,571.50 is: 56,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784 : 36,571.50 = 36,571.50 : x
  2. Step 2: Convert to fraction form
    23,784/36,571.50 = 36,571.50/x
  3. Step 3: Cross multiply
    23,784x = 36,571.50 × 36,571.50
  4. Step 4: Simplify right side
    23,784x = 1,337,474,612.25
  5. Step 5: Solve for x
    x = 1,337,474,612.25/23,784
  6. Step 6: Final answer
    x = 56,234.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.