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Finding the Third Proportional to 1,162.13 and 1,769.06

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Solution

The third proportional to 1,162.13 and 1,769.06 is: 2,692.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.13 : 1,769.06 = 1,769.06 : x
  2. Step 2: Convert to fraction form
    1,162.13/1,769.06 = 1,769.06/x
  3. Step 3: Cross multiply
    1,162.13x = 1,769.06 × 1,769.06
  4. Step 4: Simplify right side
    1,162.13x = 3,129,582.13
  5. Step 5: Solve for x
    x = 3,129,582.13/1,162.13
  6. Step 6: Final answer
    x = 2,692.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.