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Finding the Third Proportional to 7,273.13 and 13,027.50

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Solution

The third proportional to 7,273.13 and 13,027.50 is: 23,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.13 : 13,027.50 = 13,027.50 : x
  2. Step 2: Convert to fraction form
    7,273.13/13,027.50 = 13,027.50/x
  3. Step 3: Cross multiply
    7,273.13x = 13,027.50 × 13,027.50
  4. Step 4: Simplify right side
    7,273.13x = 169,715,756.25
  5. Step 5: Solve for x
    x = 169,715,756.25/7,273.13
  6. Step 6: Final answer
    x = 23,334.64

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.