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Finding the Third Proportional to 35,638 and 75,299

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Solution

The third proportional to 35,638 and 75,299 is: 159,098.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,638 : 75,299 = 75,299 : x
  2. Step 2: Convert to fraction form
    35,638/75,299 = 75,299/x
  3. Step 3: Cross multiply
    35,638x = 75,299 × 75,299
  4. Step 4: Simplify right side
    35,638x = 5,669,939,401
  5. Step 5: Solve for x
    x = 5,669,939,401/35,638
  6. Step 6: Final answer
    x = 159,098.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.