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Finding the Third Proportional to 26,933 and 58,996

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Solution

The third proportional to 26,933 and 58,996 is: 129,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,933 : 58,996 = 58,996 : x
  2. Step 2: Convert to fraction form
    26,933/58,996 = 58,996/x
  3. Step 3: Cross multiply
    26,933x = 58,996 × 58,996
  4. Step 4: Simplify right side
    26,933x = 3,480,528,016
  5. Step 5: Solve for x
    x = 3,480,528,016/26,933
  6. Step 6: Final answer
    x = 129,229.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.