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Finding the Third Proportional to 27,504 and 52,819.50

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Solution

The third proportional to 27,504 and 52,819.50 is: 101,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504 : 52,819.50 = 52,819.50 : x
  2. Step 2: Convert to fraction form
    27,504/52,819.50 = 52,819.50/x
  3. Step 3: Cross multiply
    27,504x = 52,819.50 × 52,819.50
  4. Step 4: Simplify right side
    27,504x = 2,789,899,580.25
  5. Step 5: Solve for x
    x = 2,789,899,580.25/27,504
  6. Step 6: Final answer
    x = 101,436.14

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.