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Finding the Third Proportional to 27,050.50 and 58,262

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Solution

The third proportional to 27,050.50 and 58,262 is: 125,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,050.50 : 58,262 = 58,262 : x
  2. Step 2: Convert to fraction form
    27,050.50/58,262 = 58,262/x
  3. Step 3: Cross multiply
    27,050.50x = 58,262 × 58,262
  4. Step 4: Simplify right side
    27,050.50x = 3,394,460,644
  5. Step 5: Solve for x
    x = 3,394,460,644/27,050.50
  6. Step 6: Final answer
    x = 125,486.06

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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.