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Finding the Third Proportional to 17,297 and 37,735

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Solution

The third proportional to 17,297 and 37,735 is: 82,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,297 : 37,735 = 37,735 : x
  2. Step 2: Convert to fraction form
    17,297/37,735 = 37,735/x
  3. Step 3: Cross multiply
    17,297x = 37,735 × 37,735
  4. Step 4: Simplify right side
    17,297x = 1,423,930,225
  5. Step 5: Solve for x
    x = 1,423,930,225/17,297
  6. Step 6: Final answer
    x = 82,322.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.