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Finding the Third Proportional to 27,123.75 and 58,338

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Solution

The third proportional to 27,123.75 and 58,338 is: 125,473.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,123.75 : 58,338 = 58,338 : x
  2. Step 2: Convert to fraction form
    27,123.75/58,338 = 58,338/x
  3. Step 3: Cross multiply
    27,123.75x = 58,338 × 58,338
  4. Step 4: Simplify right side
    27,123.75x = 3,403,322,244
  5. Step 5: Solve for x
    x = 3,403,322,244/27,123.75
  6. Step 6: Final answer
    x = 125,473.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.