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Finding the Third Proportional to 6,409.13 and 9,555.19

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Solution

The third proportional to 6,409.13 and 9,555.19 is: 14,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.13 : 9,555.19 = 9,555.19 : x
  2. Step 2: Convert to fraction form
    6,409.13/9,555.19 = 9,555.19/x
  3. Step 3: Cross multiply
    6,409.13x = 9,555.19 × 9,555.19
  4. Step 4: Simplify right side
    6,409.13x = 91,301,608.16
  5. Step 5: Solve for x
    x = 91,301,608.16/6,409.13
  6. Step 6: Final answer
    x = 14,245.57

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Why These Related Problems?

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