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Finding the Third Proportional to 5,661.56 and 8,325.84

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Solution

The third proportional to 5,661.56 and 8,325.84 is: 12,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.56 : 8,325.84 = 8,325.84 : x
  2. Step 2: Convert to fraction form
    5,661.56/8,325.84 = 8,325.84/x
  3. Step 3: Cross multiply
    5,661.56x = 8,325.84 × 8,325.84
  4. Step 4: Simplify right side
    5,661.56x = 69,319,674.15
  5. Step 5: Solve for x
    x = 69,319,674.15/5,661.56
  6. Step 6: Final answer
    x = 12,243.91

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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.