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Finding the Third Proportional to 1,189.50 and 2,777.25

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Solution

The third proportional to 1,189.50 and 2,777.25 is: 6,484.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.50 : 2,777.25 = 2,777.25 : x
  2. Step 2: Convert to fraction form
    1,189.50/2,777.25 = 2,777.25/x
  3. Step 3: Cross multiply
    1,189.50x = 2,777.25 × 2,777.25
  4. Step 4: Simplify right side
    1,189.50x = 7,713,117.56
  5. Step 5: Solve for x
    x = 7,713,117.56/1,189.50
  6. Step 6: Final answer
    x = 6,484.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.