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Finding the Third Proportional to 12,535.59 and 27,531.70

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Solution

The third proportional to 12,535.59 and 27,531.70 is: 60,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.59 : 27,531.70 = 27,531.70 : x
  2. Step 2: Convert to fraction form
    12,535.59/27,531.70 = 27,531.70/x
  3. Step 3: Cross multiply
    12,535.59x = 27,531.70 × 27,531.70
  4. Step 4: Simplify right side
    12,535.59x = 757,994,676.96
  5. Step 5: Solve for x
    x = 757,994,676.96/12,535.59
  6. Step 6: Final answer
    x = 60,467.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.