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Finding the Third Proportional to 29,529 and 62,392.50

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Solution

The third proportional to 29,529 and 62,392.50 is: 131,830.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,529 : 62,392.50 = 62,392.50 : x
  2. Step 2: Convert to fraction form
    29,529/62,392.50 = 62,392.50/x
  3. Step 3: Cross multiply
    29,529x = 62,392.50 × 62,392.50
  4. Step 4: Simplify right side
    29,529x = 3,892,824,056.25
  5. Step 5: Solve for x
    x = 3,892,824,056.25/29,529
  6. Step 6: Final answer
    x = 131,830.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.