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Finding the Third Proportional to 6,206.63 and 9,352.97

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Solution

The third proportional to 6,206.63 and 9,352.97 is: 14,094.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.63 : 9,352.97 = 9,352.97 : x
  2. Step 2: Convert to fraction form
    6,206.63/9,352.97 = 9,352.97/x
  3. Step 3: Cross multiply
    6,206.63x = 9,352.97 × 9,352.97
  4. Step 4: Simplify right side
    6,206.63x = 87,478,024.44
  5. Step 5: Solve for x
    x = 87,478,024.44/6,206.63
  6. Step 6: Final answer
    x = 14,094.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.