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Finding the Third Proportional to 27,958 and 42,301

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Solution

The third proportional to 27,958 and 42,301 is: 64,002.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,958 : 42,301 = 42,301 : x
  2. Step 2: Convert to fraction form
    27,958/42,301 = 42,301/x
  3. Step 3: Cross multiply
    27,958x = 42,301 × 42,301
  4. Step 4: Simplify right side
    27,958x = 1,789,374,601
  5. Step 5: Solve for x
    x = 1,789,374,601/27,958
  6. Step 6: Final answer
    x = 64,002.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.