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Finding the Third Proportional to 11,851.31 and 24,841.69

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Solution

The third proportional to 11,851.31 and 24,841.69 is: 52,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.31 : 24,841.69 = 24,841.69 : x
  2. Step 2: Convert to fraction form
    11,851.31/24,841.69 = 24,841.69/x
  3. Step 3: Cross multiply
    11,851.31x = 24,841.69 × 24,841.69
  4. Step 4: Simplify right side
    11,851.31x = 617,109,437.85
  5. Step 5: Solve for x
    x = 617,109,437.85/11,851.31
  6. Step 6: Final answer
    x = 52,070.98

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.