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Finding the Third Proportional to 5,818.57 and 12,559.43

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Solution

The third proportional to 5,818.57 and 12,559.43 is: 27,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,818.57 : 12,559.43 = 12,559.43 : x
  2. Step 2: Convert to fraction form
    5,818.57/12,559.43 = 12,559.43/x
  3. Step 3: Cross multiply
    5,818.57x = 12,559.43 × 12,559.43
  4. Step 4: Simplify right side
    5,818.57x = 157,739,274.08
  5. Step 5: Solve for x
    x = 157,739,274.08/5,818.57
  6. Step 6: Final answer
    x = 27,109.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.