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Finding the Third Proportional to 35,051 and 75,931

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Solution

The third proportional to 35,051 and 75,931 is: 164,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,051 : 75,931 = 75,931 : x
  2. Step 2: Convert to fraction form
    35,051/75,931 = 75,931/x
  3. Step 3: Cross multiply
    35,051x = 75,931 × 75,931
  4. Step 4: Simplify right side
    35,051x = 5,765,516,761
  5. Step 5: Solve for x
    x = 5,765,516,761/35,051
  6. Step 6: Final answer
    x = 164,489.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.