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Finding the Third Proportional to 27,378 and 35,451

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Solution

The third proportional to 27,378 and 35,451 is: 45,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,378 : 35,451 = 35,451 : x
  2. Step 2: Convert to fraction form
    27,378/35,451 = 35,451/x
  3. Step 3: Cross multiply
    27,378x = 35,451 × 35,451
  4. Step 4: Simplify right side
    27,378x = 1,256,773,401
  5. Step 5: Solve for x
    x = 1,256,773,401/27,378
  6. Step 6: Final answer
    x = 45,904.50

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.