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Finding the Third Proportional to 6,021.84 and 8,407.55

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Solution

The third proportional to 6,021.84 and 8,407.55 is: 11,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.84 : 8,407.55 = 8,407.55 : x
  2. Step 2: Convert to fraction form
    6,021.84/8,407.55 = 8,407.55/x
  3. Step 3: Cross multiply
    6,021.84x = 8,407.55 × 8,407.55
  4. Step 4: Simplify right side
    6,021.84x = 70,686,844.46
  5. Step 5: Solve for x
    x = 70,686,844.46/6,021.84
  6. Step 6: Final answer
    x = 11,738.41

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.