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Finding the Third Proportional to 4,412.56 and 9,699.71

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Solution

The third proportional to 4,412.56 and 9,699.71 is: 21,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,412.56 : 9,699.71 = 9,699.71 : x
  2. Step 2: Convert to fraction form
    4,412.56/9,699.71 = 9,699.71/x
  3. Step 3: Cross multiply
    4,412.56x = 9,699.71 × 9,699.71
  4. Step 4: Simplify right side
    4,412.56x = 94,084,382.80
  5. Step 5: Solve for x
    x = 94,084,382.80/4,412.56
  6. Step 6: Final answer
    x = 21,321.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.