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Finding the Third Proportional to 35,617 and 76,175

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Solution

The third proportional to 35,617 and 76,175 is: 162,917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,617 : 76,175 = 76,175 : x
  2. Step 2: Convert to fraction form
    35,617/76,175 = 76,175/x
  3. Step 3: Cross multiply
    35,617x = 76,175 × 76,175
  4. Step 4: Simplify right side
    35,617x = 5,802,630,625
  5. Step 5: Solve for x
    x = 5,802,630,625/35,617
  6. Step 6: Final answer
    x = 162,917.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.