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Finding the Third Proportional to 35,261 and 38,951

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Solution

The third proportional to 35,261 and 38,951 is: 43,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,261 : 38,951 = 38,951 : x
  2. Step 2: Convert to fraction form
    35,261/38,951 = 38,951/x
  3. Step 3: Cross multiply
    35,261x = 38,951 × 38,951
  4. Step 4: Simplify right side
    35,261x = 1,517,180,401
  5. Step 5: Solve for x
    x = 1,517,180,401/35,261
  6. Step 6: Final answer
    x = 43,027.15

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.