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Finding the Third Proportional to 2,003.63 and 2,350.13

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Solution

The third proportional to 2,003.63 and 2,350.13 is: 2,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.63 : 2,350.13 = 2,350.13 : x
  2. Step 2: Convert to fraction form
    2,003.63/2,350.13 = 2,350.13/x
  3. Step 3: Cross multiply
    2,003.63x = 2,350.13 × 2,350.13
  4. Step 4: Simplify right side
    2,003.63x = 5,523,087.52
  5. Step 5: Solve for x
    x = 5,523,087.52/2,003.63
  6. Step 6: Final answer
    x = 2,756.55

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.