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Finding the Third Proportional to 5,891.70 and 12,389.31

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Solution

The third proportional to 5,891.70 and 12,389.31 is: 26,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.70 : 12,389.31 = 12,389.31 : x
  2. Step 2: Convert to fraction form
    5,891.70/12,389.31 = 12,389.31/x
  3. Step 3: Cross multiply
    5,891.70x = 12,389.31 × 12,389.31
  4. Step 4: Simplify right side
    5,891.70x = 153,494,967.43
  5. Step 5: Solve for x
    x = 153,494,967.43/5,891.70
  6. Step 6: Final answer
    x = 26,052.77

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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.