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Finding the Third Proportional to 35,170.88 and 75,951

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Solution

The third proportional to 35,170.88 and 75,951 is: 164,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,170.88 : 75,951 = 75,951 : x
  2. Step 2: Convert to fraction form
    35,170.88/75,951 = 75,951/x
  3. Step 3: Cross multiply
    35,170.88x = 75,951 × 75,951
  4. Step 4: Simplify right side
    35,170.88x = 5,768,554,401
  5. Step 5: Solve for x
    x = 5,768,554,401/35,170.88
  6. Step 6: Final answer
    x = 164,015.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.