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Finding the Third Proportional to 6,350.27 and 9,824.41

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Solution

The third proportional to 6,350.27 and 9,824.41 is: 15,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,350.27 : 9,824.41 = 9,824.41 : x
  2. Step 2: Convert to fraction form
    6,350.27/9,824.41 = 9,824.41/x
  3. Step 3: Cross multiply
    6,350.27x = 9,824.41 × 9,824.41
  4. Step 4: Simplify right side
    6,350.27x = 96,519,111.67
  5. Step 5: Solve for x
    x = 96,519,111.67/6,350.27
  6. Step 6: Final answer
    x = 15,199.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.