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Finding the Third Proportional to 5,289.47 and 11,490.19

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Solution

The third proportional to 5,289.47 and 11,490.19 is: 24,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,289.47 : 11,490.19 = 11,490.19 : x
  2. Step 2: Convert to fraction form
    5,289.47/11,490.19 = 11,490.19/x
  3. Step 3: Cross multiply
    5,289.47x = 11,490.19 × 11,490.19
  4. Step 4: Simplify right side
    5,289.47x = 132,024,408.79
  5. Step 5: Solve for x
    x = 132,024,408.79/5,289.47
  6. Step 6: Final answer
    x = 24,959.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.