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Finding the Third Proportional to 35,579 and 75,538

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Solution

The third proportional to 35,579 and 75,538 is: 160,375.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,579 : 75,538 = 75,538 : x
  2. Step 2: Convert to fraction form
    35,579/75,538 = 75,538/x
  3. Step 3: Cross multiply
    35,579x = 75,538 × 75,538
  4. Step 4: Simplify right side
    35,579x = 5,705,989,444
  5. Step 5: Solve for x
    x = 5,705,989,444/35,579
  6. Step 6: Final answer
    x = 160,375.21

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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.