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Finding the Third Proportional to 27,347 and 35,908.50

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Solution

The third proportional to 27,347 and 35,908.50 is: 47,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,347 : 35,908.50 = 35,908.50 : x
  2. Step 2: Convert to fraction form
    27,347/35,908.50 = 35,908.50/x
  3. Step 3: Cross multiply
    27,347x = 35,908.50 × 35,908.50
  4. Step 4: Simplify right side
    27,347x = 1,289,420,372.25
  5. Step 5: Solve for x
    x = 1,289,420,372.25/27,347
  6. Step 6: Final answer
    x = 47,150.34

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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.