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Finding the Third Proportional to 5,359.29 and 11,874.73

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Solution

The third proportional to 5,359.29 and 11,874.73 is: 26,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,359.29 : 11,874.73 = 11,874.73 : x
  2. Step 2: Convert to fraction form
    5,359.29/11,874.73 = 11,874.73/x
  3. Step 3: Cross multiply
    5,359.29x = 11,874.73 × 11,874.73
  4. Step 4: Simplify right side
    5,359.29x = 141,009,130.93
  5. Step 5: Solve for x
    x = 141,009,130.93/5,359.29
  6. Step 6: Final answer
    x = 26,311.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.