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Finding the Third Proportional to 5,421.25 and 11,834.63

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Solution

The third proportional to 5,421.25 and 11,834.63 is: 25,835.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,421.25 : 11,834.63 = 11,834.63 : x
  2. Step 2: Convert to fraction form
    5,421.25/11,834.63 = 11,834.63/x
  3. Step 3: Cross multiply
    5,421.25x = 11,834.63 × 11,834.63
  4. Step 4: Simplify right side
    5,421.25x = 140,058,348.89
  5. Step 5: Solve for x
    x = 140,058,348.89/5,421.25
  6. Step 6: Final answer
    x = 25,835.07

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Why These Related Problems?

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