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Finding the Third Proportional to 23,437.13 and 36,021.38

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Solution

The third proportional to 23,437.13 and 36,021.38 is: 55,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,437.13 : 36,021.38 = 36,021.38 : x
  2. Step 2: Convert to fraction form
    23,437.13/36,021.38 = 36,021.38/x
  3. Step 3: Cross multiply
    23,437.13x = 36,021.38 × 36,021.38
  4. Step 4: Simplify right side
    23,437.13x = 1,297,539,456.89
  5. Step 5: Solve for x
    x = 1,297,539,456.89/23,437.13
  6. Step 6: Final answer
    x = 55,362.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.