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Finding the Third Proportional to 26,242 and 41,047

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Solution

The third proportional to 26,242 and 41,047 is: 64,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,242 : 41,047 = 41,047 : x
  2. Step 2: Convert to fraction form
    26,242/41,047 = 41,047/x
  3. Step 3: Cross multiply
    26,242x = 41,047 × 41,047
  4. Step 4: Simplify right side
    26,242x = 1,684,856,209
  5. Step 5: Solve for x
    x = 1,684,856,209/26,242
  6. Step 6: Final answer
    x = 64,204.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.