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Finding the Third Proportional to 1,131.89 and 2,400.05

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Solution

The third proportional to 1,131.89 and 2,400.05 is: 5,089.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.89 : 2,400.05 = 2,400.05 : x
  2. Step 2: Convert to fraction form
    1,131.89/2,400.05 = 2,400.05/x
  3. Step 3: Cross multiply
    1,131.89x = 2,400.05 × 2,400.05
  4. Step 4: Simplify right side
    1,131.89x = 5,760,225.00
  5. Step 5: Solve for x
    x = 5,760,225.00/1,131.89
  6. Step 6: Final answer
    x = 5,089.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.