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Finding the Third Proportional to 29,500 and 44,253

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Solution

The third proportional to 29,500 and 44,253 is: 66,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,500 : 44,253 = 44,253 : x
  2. Step 2: Convert to fraction form
    29,500/44,253 = 44,253/x
  3. Step 3: Cross multiply
    29,500x = 44,253 × 44,253
  4. Step 4: Simplify right side
    29,500x = 1,958,328,009
  5. Step 5: Solve for x
    x = 1,958,328,009/29,500
  6. Step 6: Final answer
    x = 66,384.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.