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Finding the Third Proportional to 26,041 and 40,385

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Solution

The third proportional to 26,041 and 40,385 is: 62,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,041 : 40,385 = 40,385 : x
  2. Step 2: Convert to fraction form
    26,041/40,385 = 40,385/x
  3. Step 3: Cross multiply
    26,041x = 40,385 × 40,385
  4. Step 4: Simplify right side
    26,041x = 1,630,948,225
  5. Step 5: Solve for x
    x = 1,630,948,225/26,041
  6. Step 6: Final answer
    x = 62,630.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.