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Finding the Third Proportional to 35,733 and 78,519

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Solution

The third proportional to 35,733 and 78,519 is: 172,536.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,733 : 78,519 = 78,519 : x
  2. Step 2: Convert to fraction form
    35,733/78,519 = 78,519/x
  3. Step 3: Cross multiply
    35,733x = 78,519 × 78,519
  4. Step 4: Simplify right side
    35,733x = 6,165,233,361
  5. Step 5: Solve for x
    x = 6,165,233,361/35,733
  6. Step 6: Final answer
    x = 172,536.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.