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Finding the Third Proportional to 4,599.12 and 9,751.17

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Solution

The third proportional to 4,599.12 and 9,751.17 is: 20,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.12 : 9,751.17 = 9,751.17 : x
  2. Step 2: Convert to fraction form
    4,599.12/9,751.17 = 9,751.17/x
  3. Step 3: Cross multiply
    4,599.12x = 9,751.17 × 9,751.17
  4. Step 4: Simplify right side
    4,599.12x = 95,085,238.66
  5. Step 5: Solve for x
    x = 95,085,238.66/4,599.12
  6. Step 6: Final answer
    x = 20,674.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.