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Finding the Third Proportional to 12,177.75 and 26,236.13

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Solution

The third proportional to 12,177.75 and 26,236.13 is: 56,523.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,177.75 : 26,236.13 = 26,236.13 : x
  2. Step 2: Convert to fraction form
    12,177.75/26,236.13 = 26,236.13/x
  3. Step 3: Cross multiply
    12,177.75x = 26,236.13 × 26,236.13
  4. Step 4: Simplify right side
    12,177.75x = 688,334,255.02
  5. Step 5: Solve for x
    x = 688,334,255.02/12,177.75
  6. Step 6: Final answer
    x = 56,523.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.