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Finding the Third Proportional to 7,273.13 and 9,590.06

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Solution

The third proportional to 7,273.13 and 9,590.06 is: 12,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.13 : 9,590.06 = 9,590.06 : x
  2. Step 2: Convert to fraction form
    7,273.13/9,590.06 = 9,590.06/x
  3. Step 3: Cross multiply
    7,273.13x = 9,590.06 × 9,590.06
  4. Step 4: Simplify right side
    7,273.13x = 91,969,298.75
  5. Step 5: Solve for x
    x = 91,969,298.75/7,273.13
  6. Step 6: Final answer
    x = 12,645.09

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.