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Finding the Third Proportional to 7,273.13 and 8,435.81

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Solution

The third proportional to 7,273.13 and 8,435.81 is: 9,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.13 : 8,435.81 = 8,435.81 : x
  2. Step 2: Convert to fraction form
    7,273.13/8,435.81 = 8,435.81/x
  3. Step 3: Cross multiply
    7,273.13x = 8,435.81 × 8,435.81
  4. Step 4: Simplify right side
    7,273.13x = 71,162,932.54
  5. Step 5: Solve for x
    x = 71,162,932.54/7,273.13
  6. Step 6: Final answer
    x = 9,784.37

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.