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Finding the Third Proportional to 6,810.75 and 16,594.88

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Solution

The third proportional to 6,810.75 and 16,594.88 is: 40,434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.75 : 16,594.88 = 16,594.88 : x
  2. Step 2: Convert to fraction form
    6,810.75/16,594.88 = 16,594.88/x
  3. Step 3: Cross multiply
    6,810.75x = 16,594.88 × 16,594.88
  4. Step 4: Simplify right side
    6,810.75x = 275,389,876.27
  5. Step 5: Solve for x
    x = 275,389,876.27/6,810.75
  6. Step 6: Final answer
    x = 40,434.59

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.