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Finding the Third Proportional to 6,795.77 and 9,570.02

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Solution

The third proportional to 6,795.77 and 9,570.02 is: 13,476.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.77 : 9,570.02 = 9,570.02 : x
  2. Step 2: Convert to fraction form
    6,795.77/9,570.02 = 9,570.02/x
  3. Step 3: Cross multiply
    6,795.77x = 9,570.02 × 9,570.02
  4. Step 4: Simplify right side
    6,795.77x = 91,585,348.59
  5. Step 5: Solve for x
    x = 91,585,348.59/6,795.77
  6. Step 6: Final answer
    x = 13,476.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.