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Finding the Third Proportional to 5,890.87 and 12,818.32

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Solution

The third proportional to 5,890.87 and 12,818.32 is: 27,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.87 : 12,818.32 = 12,818.32 : x
  2. Step 2: Convert to fraction form
    5,890.87/12,818.32 = 12,818.32/x
  3. Step 3: Cross multiply
    5,890.87x = 12,818.32 × 12,818.32
  4. Step 4: Simplify right side
    5,890.87x = 164,309,335.63
  5. Step 5: Solve for x
    x = 164,309,335.63/5,890.87
  6. Step 6: Final answer
    x = 27,892.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.