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Finding the Third Proportional to 6,371.16 and 9,523.41

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Solution

The third proportional to 6,371.16 and 9,523.41 is: 14,235.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.16 : 9,523.41 = 9,523.41 : x
  2. Step 2: Convert to fraction form
    6,371.16/9,523.41 = 9,523.41/x
  3. Step 3: Cross multiply
    6,371.16x = 9,523.41 × 9,523.41
  4. Step 4: Simplify right side
    6,371.16x = 90,695,266.60
  5. Step 5: Solve for x
    x = 90,695,266.60/6,371.16
  6. Step 6: Final answer
    x = 14,235.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.