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Finding the Third Proportional to 4,546.76 and 9,224.51

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Solution

The third proportional to 4,546.76 and 9,224.51 is: 18,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.76 : 9,224.51 = 9,224.51 : x
  2. Step 2: Convert to fraction form
    4,546.76/9,224.51 = 9,224.51/x
  3. Step 3: Cross multiply
    4,546.76x = 9,224.51 × 9,224.51
  4. Step 4: Simplify right side
    4,546.76x = 85,091,544.38
  5. Step 5: Solve for x
    x = 85,091,544.38/4,546.76
  6. Step 6: Final answer
    x = 18,714.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.