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Finding the Third Proportional to 26,829.94 and 58,269.38

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Solution

The third proportional to 26,829.94 and 58,269.38 is: 126,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,829.94 : 58,269.38 = 58,269.38 : x
  2. Step 2: Convert to fraction form
    26,829.94/58,269.38 = 58,269.38/x
  3. Step 3: Cross multiply
    26,829.94x = 58,269.38 × 58,269.38
  4. Step 4: Simplify right side
    26,829.94x = 3,395,320,062.89
  5. Step 5: Solve for x
    x = 3,395,320,062.89/26,829.94
  6. Step 6: Final answer
    x = 126,549.68

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