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Finding the Third Proportional to 5,913.87 and 13,000.26

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Solution

The third proportional to 5,913.87 and 13,000.26 is: 28,578.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.87 : 13,000.26 = 13,000.26 : x
  2. Step 2: Convert to fraction form
    5,913.87/13,000.26 = 13,000.26/x
  3. Step 3: Cross multiply
    5,913.87x = 13,000.26 × 13,000.26
  4. Step 4: Simplify right side
    5,913.87x = 169,006,830.15
  5. Step 5: Solve for x
    x = 169,006,830.15/5,913.87
  6. Step 6: Final answer
    x = 28,578.04

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.