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Finding the Third Proportional to 11,485.13 and 16,525.69

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Solution

The third proportional to 11,485.13 and 16,525.69 is: 23,778.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.13 : 16,525.69 = 16,525.69 : x
  2. Step 2: Convert to fraction form
    11,485.13/16,525.69 = 16,525.69/x
  3. Step 3: Cross multiply
    11,485.13x = 16,525.69 × 16,525.69
  4. Step 4: Simplify right side
    11,485.13x = 273,098,347.35
  5. Step 5: Solve for x
    x = 273,098,347.35/11,485.13
  6. Step 6: Final answer
    x = 23,778.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.