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Finding the Third Proportional to 29,844 and 41,835

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Solution

The third proportional to 29,844 and 41,835 is: 58,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,844 : 41,835 = 41,835 : x
  2. Step 2: Convert to fraction form
    29,844/41,835 = 41,835/x
  3. Step 3: Cross multiply
    29,844x = 41,835 × 41,835
  4. Step 4: Simplify right side
    29,844x = 1,750,167,225
  5. Step 5: Solve for x
    x = 1,750,167,225/29,844
  6. Step 6: Final answer
    x = 58,643.86

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.