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Finding the Third Proportional to 35,694 and 75,411

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Solution

The third proportional to 35,694 and 75,411 is: 159,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,694 : 75,411 = 75,411 : x
  2. Step 2: Convert to fraction form
    35,694/75,411 = 75,411/x
  3. Step 3: Cross multiply
    35,694x = 75,411 × 75,411
  4. Step 4: Simplify right side
    35,694x = 5,686,818,921
  5. Step 5: Solve for x
    x = 5,686,818,921/35,694
  6. Step 6: Final answer
    x = 159,321.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.