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Finding the Third Proportional to 7,273.13 and 11,121.05

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Solution

The third proportional to 7,273.13 and 11,121.05 is: 17,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.13 : 11,121.05 = 11,121.05 : x
  2. Step 2: Convert to fraction form
    7,273.13/11,121.05 = 11,121.05/x
  3. Step 3: Cross multiply
    7,273.13x = 11,121.05 × 11,121.05
  4. Step 4: Simplify right side
    7,273.13x = 123,677,683.60
  5. Step 5: Solve for x
    x = 123,677,683.60/7,273.13
  6. Step 6: Final answer
    x = 17,004.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.