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Finding the Third Proportional to 7,867.13 and 12,841.03

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Solution

The third proportional to 7,867.13 and 12,841.03 is: 20,959.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.13 : 12,841.03 = 12,841.03 : x
  2. Step 2: Convert to fraction form
    7,867.13/12,841.03 = 12,841.03/x
  3. Step 3: Cross multiply
    7,867.13x = 12,841.03 × 12,841.03
  4. Step 4: Simplify right side
    7,867.13x = 164,892,083.56
  5. Step 5: Solve for x
    x = 164,892,083.56/7,867.13
  6. Step 6: Final answer
    x = 20,959.64

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.