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Finding the Third Proportional to 29,590.88 and 41,621.91

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Solution

The third proportional to 29,590.88 and 41,621.91 is: 58,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,590.88 : 41,621.91 = 41,621.91 : x
  2. Step 2: Convert to fraction form
    29,590.88/41,621.91 = 41,621.91/x
  3. Step 3: Cross multiply
    29,590.88x = 41,621.91 × 41,621.91
  4. Step 4: Simplify right side
    29,590.88x = 1,732,383,079.88
  5. Step 5: Solve for x
    x = 1,732,383,079.88/29,590.88
  6. Step 6: Final answer
    x = 58,544.50

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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.