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Finding the Third Proportional to 6,148.41 and 8,549.30

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Solution

The third proportional to 6,148.41 and 8,549.30 is: 11,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,148.41 : 8,549.30 = 8,549.30 : x
  2. Step 2: Convert to fraction form
    6,148.41/8,549.30 = 8,549.30/x
  3. Step 3: Cross multiply
    6,148.41x = 8,549.30 × 8,549.30
  4. Step 4: Simplify right side
    6,148.41x = 73,090,477.06
  5. Step 5: Solve for x
    x = 73,090,477.06/6,148.41
  6. Step 6: Final answer
    x = 11,887.71

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.