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Finding the Third Proportional to 23,972.63 and 36,291.38

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Solution

The third proportional to 23,972.63 and 36,291.38 is: 54,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,972.63 : 36,291.38 = 36,291.38 : x
  2. Step 2: Convert to fraction form
    23,972.63/36,291.38 = 36,291.38/x
  3. Step 3: Cross multiply
    23,972.63x = 36,291.38 × 36,291.38
  4. Step 4: Simplify right side
    23,972.63x = 1,317,063,899.39
  5. Step 5: Solve for x
    x = 1,317,063,899.39/23,972.63
  6. Step 6: Final answer
    x = 54,940.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.