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Finding the Third Proportional to 27,180.56 and 38,276.06

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Solution

The third proportional to 27,180.56 and 38,276.06 is: 53,900.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180.56 : 38,276.06 = 38,276.06 : x
  2. Step 2: Convert to fraction form
    27,180.56/38,276.06 = 38,276.06/x
  3. Step 3: Cross multiply
    27,180.56x = 38,276.06 × 38,276.06
  4. Step 4: Simplify right side
    27,180.56x = 1,465,056,960.50
  5. Step 5: Solve for x
    x = 1,465,056,960.50/27,180.56
  6. Step 6: Final answer
    x = 53,900.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.