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Finding the Third Proportional to 7,219.13 and 17,296.03

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Solution

The third proportional to 7,219.13 and 17,296.03 is: 41,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.13 : 17,296.03 = 17,296.03 : x
  2. Step 2: Convert to fraction form
    7,219.13/17,296.03 = 17,296.03/x
  3. Step 3: Cross multiply
    7,219.13x = 17,296.03 × 17,296.03
  4. Step 4: Simplify right side
    7,219.13x = 299,152,697.00
  5. Step 5: Solve for x
    x = 299,152,697.00/7,219.13
  6. Step 6: Final answer
    x = 41,438.91

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.