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Finding the Third Proportional to 35,476 and 75,278

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Solution

The third proportional to 35,476 and 75,278 is: 159,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,476 : 75,278 = 75,278 : x
  2. Step 2: Convert to fraction form
    35,476/75,278 = 75,278/x
  3. Step 3: Cross multiply
    35,476x = 75,278 × 75,278
  4. Step 4: Simplify right side
    35,476x = 5,666,777,284
  5. Step 5: Solve for x
    x = 5,666,777,284/35,476
  6. Step 6: Final answer
    x = 159,735.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.