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Finding the Third Proportional to 5,097.63 and 10,451.75

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Solution

The third proportional to 5,097.63 and 10,451.75 is: 21,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.63 : 10,451.75 = 10,451.75 : x
  2. Step 2: Convert to fraction form
    5,097.63/10,451.75 = 10,451.75/x
  3. Step 3: Cross multiply
    5,097.63x = 10,451.75 × 10,451.75
  4. Step 4: Simplify right side
    5,097.63x = 109,239,078.06
  5. Step 5: Solve for x
    x = 109,239,078.06/5,097.63
  6. Step 6: Final answer
    x = 21,429.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.