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Finding the Third Proportional to 6,309.75 and 9,235.13

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Solution

The third proportional to 6,309.75 and 9,235.13 is: 13,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.75 : 9,235.13 = 9,235.13 : x
  2. Step 2: Convert to fraction form
    6,309.75/9,235.13 = 9,235.13/x
  3. Step 3: Cross multiply
    6,309.75x = 9,235.13 × 9,235.13
  4. Step 4: Simplify right side
    6,309.75x = 85,287,533.77
  5. Step 5: Solve for x
    x = 85,287,533.77/6,309.75
  6. Step 6: Final answer
    x = 13,516.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.