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Finding the Third Proportional to 41,004 and 61,242

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Solution

The third proportional to 41,004 and 61,242 is: 91,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,004 : 61,242 = 61,242 : x
  2. Step 2: Convert to fraction form
    41,004/61,242 = 61,242/x
  3. Step 3: Cross multiply
    41,004x = 61,242 × 61,242
  4. Step 4: Simplify right side
    41,004x = 3,750,582,564
  5. Step 5: Solve for x
    x = 3,750,582,564/41,004
  6. Step 6: Final answer
    x = 91,468.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.