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Finding the Third Proportional to 2,350.50 and 5,503.13

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Solution

The third proportional to 2,350.50 and 5,503.13 is: 12,884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.50 : 5,503.13 = 5,503.13 : x
  2. Step 2: Convert to fraction form
    2,350.50/5,503.13 = 5,503.13/x
  3. Step 3: Cross multiply
    2,350.50x = 5,503.13 × 5,503.13
  4. Step 4: Simplify right side
    2,350.50x = 30,284,384.77
  5. Step 5: Solve for x
    x = 30,284,384.77/2,350.50
  6. Step 6: Final answer
    x = 12,884.23

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.