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Finding the Third Proportional to 35,023 and 74,965

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Solution

The third proportional to 35,023 and 74,965 is: 160,458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,023 : 74,965 = 74,965 : x
  2. Step 2: Convert to fraction form
    35,023/74,965 = 74,965/x
  3. Step 3: Cross multiply
    35,023x = 74,965 × 74,965
  4. Step 4: Simplify right side
    35,023x = 5,619,751,225
  5. Step 5: Solve for x
    x = 5,619,751,225/35,023
  6. Step 6: Final answer
    x = 160,458.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.