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Finding the Third Proportional to 29,635.88 and 41,684.63

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Solution

The third proportional to 29,635.88 and 41,684.63 is: 58,631.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,635.88 : 41,684.63 = 41,684.63 : x
  2. Step 2: Convert to fraction form
    29,635.88/41,684.63 = 41,684.63/x
  3. Step 3: Cross multiply
    29,635.88x = 41,684.63 × 41,684.63
  4. Step 4: Simplify right side
    29,635.88x = 1,737,607,961.39
  5. Step 5: Solve for x
    x = 1,737,607,961.39/29,635.88
  6. Step 6: Final answer
    x = 58,631.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.