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Finding the Third Proportional to 27,700 and 58,856

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Solution

The third proportional to 27,700 and 58,856 is: 125,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700 : 58,856 = 58,856 : x
  2. Step 2: Convert to fraction form
    27,700/58,856 = 58,856/x
  3. Step 3: Cross multiply
    27,700x = 58,856 × 58,856
  4. Step 4: Simplify right side
    27,700x = 3,464,028,736
  5. Step 5: Solve for x
    x = 3,464,028,736/27,700
  6. Step 6: Final answer
    x = 125,055.19

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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.