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Finding the Third Proportional to 27,018 and 35,451

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Solution

The third proportional to 27,018 and 35,451 is: 46,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,018 : 35,451 = 35,451 : x
  2. Step 2: Convert to fraction form
    27,018/35,451 = 35,451/x
  3. Step 3: Cross multiply
    27,018x = 35,451 × 35,451
  4. Step 4: Simplify right side
    27,018x = 1,256,773,401
  5. Step 5: Solve for x
    x = 1,256,773,401/27,018
  6. Step 6: Final answer
    x = 46,516.15

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.