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Finding the Third Proportional to 41,047 and 87,035

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Solution

The third proportional to 41,047 and 87,035 is: 184,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,047 : 87,035 = 87,035 : x
  2. Step 2: Convert to fraction form
    41,047/87,035 = 87,035/x
  3. Step 3: Cross multiply
    41,047x = 87,035 × 87,035
  4. Step 4: Simplify right side
    41,047x = 7,575,091,225
  5. Step 5: Solve for x
    x = 7,575,091,225/41,047
  6. Step 6: Final answer
    x = 184,546.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.