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Finding the Third Proportional to 9,995.91 and 15,546.94

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Solution

The third proportional to 9,995.91 and 15,546.94 is: 24,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995.91 : 15,546.94 = 15,546.94 : x
  2. Step 2: Convert to fraction form
    9,995.91/15,546.94 = 15,546.94/x
  3. Step 3: Cross multiply
    9,995.91x = 15,546.94 × 15,546.94
  4. Step 4: Simplify right side
    9,995.91x = 241,707,265.63
  5. Step 5: Solve for x
    x = 241,707,265.63/9,995.91
  6. Step 6: Final answer
    x = 24,180.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.