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Finding the Third Proportional to 35,071 and 75,489

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Solution

The third proportional to 35,071 and 75,489 is: 162,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,071 : 75,489 = 75,489 : x
  2. Step 2: Convert to fraction form
    35,071/75,489 = 75,489/x
  3. Step 3: Cross multiply
    35,071x = 75,489 × 75,489
  4. Step 4: Simplify right side
    35,071x = 5,698,589,121
  5. Step 5: Solve for x
    x = 5,698,589,121/35,071
  6. Step 6: Final answer
    x = 162,487.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.