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Finding the Third Proportional to 27,505 and 42,900

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Solution

The third proportional to 27,505 and 42,900 is: 66,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,505 : 42,900 = 42,900 : x
  2. Step 2: Convert to fraction form
    27,505/42,900 = 42,900/x
  3. Step 3: Cross multiply
    27,505x = 42,900 × 42,900
  4. Step 4: Simplify right side
    27,505x = 1,840,410,000
  5. Step 5: Solve for x
    x = 1,840,410,000/27,505
  6. Step 6: Final answer
    x = 66,911.83

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.