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Finding the Third Proportional to 12,185.44 and 26,436.38

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Solution

The third proportional to 12,185.44 and 26,436.38 is: 57,353.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.44 : 26,436.38 = 26,436.38 : x
  2. Step 2: Convert to fraction form
    12,185.44/26,436.38 = 26,436.38/x
  3. Step 3: Cross multiply
    12,185.44x = 26,436.38 × 26,436.38
  4. Step 4: Simplify right side
    12,185.44x = 698,881,923.14
  5. Step 5: Solve for x
    x = 698,881,923.14/12,185.44
  6. Step 6: Final answer
    x = 57,353.86

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1.5x scale

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.