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Finding the Third Proportional to 29,934.56 and 41,621.34

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Solution

The third proportional to 29,934.56 and 41,621.34 is: 57,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934.56 : 41,621.34 = 41,621.34 : x
  2. Step 2: Convert to fraction form
    29,934.56/41,621.34 = 41,621.34/x
  3. Step 3: Cross multiply
    29,934.56x = 41,621.34 × 41,621.34
  4. Step 4: Simplify right side
    29,934.56x = 1,732,336,255.56
  5. Step 5: Solve for x
    x = 1,732,336,255.56/29,934.56
  6. Step 6: Final answer
    x = 57,870.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.