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Finding the Third Proportional to 1,594.13 and 3,769.13

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Solution

The third proportional to 1,594.13 and 3,769.13 is: 8,911.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.13 : 3,769.13 = 3,769.13 : x
  2. Step 2: Convert to fraction form
    1,594.13/3,769.13 = 3,769.13/x
  3. Step 3: Cross multiply
    1,594.13x = 3,769.13 × 3,769.13
  4. Step 4: Simplify right side
    1,594.13x = 14,206,303.27
  5. Step 5: Solve for x
    x = 14,206,303.27/1,594.13
  6. Step 6: Final answer
    x = 8,911.66

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.