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Finding the Third Proportional to 23,580 and 36,190.13

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Solution

The third proportional to 23,580 and 36,190.13 is: 55,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580 : 36,190.13 = 36,190.13 : x
  2. Step 2: Convert to fraction form
    23,580/36,190.13 = 36,190.13/x
  3. Step 3: Cross multiply
    23,580x = 36,190.13 × 36,190.13
  4. Step 4: Simplify right side
    23,580x = 1,309,725,147.52
  5. Step 5: Solve for x
    x = 1,309,725,147.52/23,580
  6. Step 6: Final answer
    x = 55,543.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.