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Finding the Third Proportional to 12,175.47 and 26,426.94

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Solution

The third proportional to 12,175.47 and 26,426.94 is: 57,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,175.47 : 26,426.94 = 26,426.94 : x
  2. Step 2: Convert to fraction form
    12,175.47/26,426.94 = 26,426.94/x
  3. Step 3: Cross multiply
    12,175.47x = 26,426.94 × 26,426.94
  4. Step 4: Simplify right side
    12,175.47x = 698,383,025.63
  5. Step 5: Solve for x
    x = 698,383,025.63/12,175.47
  6. Step 6: Final answer
    x = 57,359.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.