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Finding the Third Proportional to 11,487.38 and 16,259.63

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Solution

The third proportional to 11,487.38 and 16,259.63 is: 23,014.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,487.38 : 16,259.63 = 16,259.63 : x
  2. Step 2: Convert to fraction form
    11,487.38/16,259.63 = 16,259.63/x
  3. Step 3: Cross multiply
    11,487.38x = 16,259.63 × 16,259.63
  4. Step 4: Simplify right side
    11,487.38x = 264,375,405.14
  5. Step 5: Solve for x
    x = 264,375,405.14/11,487.38
  6. Step 6: Final answer
    x = 23,014.43

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.