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Finding the Third Proportional to 11,712.41 and 17,807.82

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Solution

The third proportional to 11,712.41 and 17,807.82 is: 27,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.41 : 17,807.82 = 17,807.82 : x
  2. Step 2: Convert to fraction form
    11,712.41/17,807.82 = 17,807.82/x
  3. Step 3: Cross multiply
    11,712.41x = 17,807.82 × 17,807.82
  4. Step 4: Simplify right side
    11,712.41x = 317,118,394.72
  5. Step 5: Solve for x
    x = 317,118,394.72/11,712.41
  6. Step 6: Final answer
    x = 27,075.42

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.