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Finding the Third Proportional to 35,417 and 76,299

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Solution

The third proportional to 35,417 and 76,299 is: 164,371.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,417 : 76,299 = 76,299 : x
  2. Step 2: Convert to fraction form
    35,417/76,299 = 76,299/x
  3. Step 3: Cross multiply
    35,417x = 76,299 × 76,299
  4. Step 4: Simplify right side
    35,417x = 5,821,537,401
  5. Step 5: Solve for x
    x = 5,821,537,401/35,417
  6. Step 6: Final answer
    x = 164,371.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.