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Finding the Third Proportional to 12,785.55 and 27,348.05

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Solution

The third proportional to 12,785.55 and 27,348.05 is: 58,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.55 : 27,348.05 = 27,348.05 : x
  2. Step 2: Convert to fraction form
    12,785.55/27,348.05 = 27,348.05/x
  3. Step 3: Cross multiply
    12,785.55x = 27,348.05 × 27,348.05
  4. Step 4: Simplify right side
    12,785.55x = 747,915,667.88
  5. Step 5: Solve for x
    x = 747,915,667.88/12,785.55
  6. Step 6: Final answer
    x = 58,496.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.