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Finding the Third Proportional to 4,044.94 and 8,722.69

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Solution

The third proportional to 4,044.94 and 8,722.69 is: 18,810.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,044.94 : 8,722.69 = 8,722.69 : x
  2. Step 2: Convert to fraction form
    4,044.94/8,722.69 = 8,722.69/x
  3. Step 3: Cross multiply
    4,044.94x = 8,722.69 × 8,722.69
  4. Step 4: Simplify right side
    4,044.94x = 76,085,277.22
  5. Step 5: Solve for x
    x = 76,085,277.22/4,044.94
  6. Step 6: Final answer
    x = 18,810.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.