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Finding the Third Proportional to 8,661.94 and 10,279.69

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Solution

The third proportional to 8,661.94 and 10,279.69 is: 12,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.94 : 10,279.69 = 10,279.69 : x
  2. Step 2: Convert to fraction form
    8,661.94/10,279.69 = 10,279.69/x
  3. Step 3: Cross multiply
    8,661.94x = 10,279.69 × 10,279.69
  4. Step 4: Simplify right side
    8,661.94x = 105,671,975.10
  5. Step 5: Solve for x
    x = 105,671,975.10/8,661.94
  6. Step 6: Final answer
    x = 12,199.58

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.