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Finding the Third Proportional to 35,466 and 76,841

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Solution

The third proportional to 35,466 and 76,841 is: 166,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,466 : 76,841 = 76,841 : x
  2. Step 2: Convert to fraction form
    35,466/76,841 = 76,841/x
  3. Step 3: Cross multiply
    35,466x = 76,841 × 76,841
  4. Step 4: Simplify right side
    35,466x = 5,904,539,281
  5. Step 5: Solve for x
    x = 5,904,539,281/35,466
  6. Step 6: Final answer
    x = 166,484.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.