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Finding the Third Proportional to 35,717 and 57,356

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Solution

The third proportional to 35,717 and 57,356 is: 92,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,717 : 57,356 = 57,356 : x
  2. Step 2: Convert to fraction form
    35,717/57,356 = 57,356/x
  3. Step 3: Cross multiply
    35,717x = 57,356 × 57,356
  4. Step 4: Simplify right side
    35,717x = 3,289,710,736
  5. Step 5: Solve for x
    x = 3,289,710,736/35,717
  6. Step 6: Final answer
    x = 92,104.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.