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Finding the Third Proportional to 7,448 and 17,900

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Solution

The third proportional to 7,448 and 17,900 is: 43,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448 : 17,900 = 17,900 : x
  2. Step 2: Convert to fraction form
    7,448/17,900 = 17,900/x
  3. Step 3: Cross multiply
    7,448x = 17,900 × 17,900
  4. Step 4: Simplify right side
    7,448x = 320,410,000
  5. Step 5: Solve for x
    x = 320,410,000/7,448
  6. Step 6: Final answer
    x = 43,019.60

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