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Finding the Third Proportional to 12,772.69 and 28,005.75

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Solution

The third proportional to 12,772.69 and 28,005.75 is: 61,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.69 : 28,005.75 = 28,005.75 : x
  2. Step 2: Convert to fraction form
    12,772.69/28,005.75 = 28,005.75/x
  3. Step 3: Cross multiply
    12,772.69x = 28,005.75 × 28,005.75
  4. Step 4: Simplify right side
    12,772.69x = 784,322,033.06
  5. Step 5: Solve for x
    x = 784,322,033.06/12,772.69
  6. Step 6: Final answer
    x = 61,406.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.