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Finding the Third Proportional to 15,546.94 and 23,930.44

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Solution

The third proportional to 15,546.94 and 23,930.44 is: 36,834.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546.94 : 23,930.44 = 23,930.44 : x
  2. Step 2: Convert to fraction form
    15,546.94/23,930.44 = 23,930.44/x
  3. Step 3: Cross multiply
    15,546.94x = 23,930.44 × 23,930.44
  4. Step 4: Simplify right side
    15,546.94x = 572,665,838.94
  5. Step 5: Solve for x
    x = 572,665,838.94/15,546.94
  6. Step 6: Final answer
    x = 36,834.64

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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.