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Finding the Third Proportional to 29,838 and 41,815

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Solution

The third proportional to 29,838 and 41,815 is: 58,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,838 : 41,815 = 41,815 : x
  2. Step 2: Convert to fraction form
    29,838/41,815 = 41,815/x
  3. Step 3: Cross multiply
    29,838x = 41,815 × 41,815
  4. Step 4: Simplify right side
    29,838x = 1,748,494,225
  5. Step 5: Solve for x
    x = 1,748,494,225/29,838
  6. Step 6: Final answer
    x = 58,599.58

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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.