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Finding the Third Proportional to 1,133.63 and 1,661.63

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Solution

The third proportional to 1,133.63 and 1,661.63 is: 2,435.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.63 : 1,661.63 = 1,661.63 : x
  2. Step 2: Convert to fraction form
    1,133.63/1,661.63 = 1,661.63/x
  3. Step 3: Cross multiply
    1,133.63x = 1,661.63 × 1,661.63
  4. Step 4: Simplify right side
    1,133.63x = 2,760,997.64
  5. Step 5: Solve for x
    x = 2,760,997.64/1,133.63
  6. Step 6: Final answer
    x = 2,435.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.