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Finding the Third Proportional to 27,698.31 and 58,719.75

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Solution

The third proportional to 27,698.31 and 58,719.75 is: 124,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,698.31 : 58,719.75 = 58,719.75 : x
  2. Step 2: Convert to fraction form
    27,698.31/58,719.75 = 58,719.75/x
  3. Step 3: Cross multiply
    27,698.31x = 58,719.75 × 58,719.75
  4. Step 4: Simplify right side
    27,698.31x = 3,448,009,040.06
  5. Step 5: Solve for x
    x = 3,448,009,040.06/27,698.31
  6. Step 6: Final answer
    x = 124,484.44

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.