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Finding the Third Proportional to 27,733 and 42,629

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Solution

The third proportional to 27,733 and 42,629 is: 65,525.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733 : 42,629 = 42,629 : x
  2. Step 2: Convert to fraction form
    27,733/42,629 = 42,629/x
  3. Step 3: Cross multiply
    27,733x = 42,629 × 42,629
  4. Step 4: Simplify right side
    27,733x = 1,817,231,641
  5. Step 5: Solve for x
    x = 1,817,231,641/27,733
  6. Step 6: Final answer
    x = 65,525.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.