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Finding the Third Proportional to 27,519 and 37,159.50

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Solution

The third proportional to 27,519 and 37,159.50 is: 50,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,519 : 37,159.50 = 37,159.50 : x
  2. Step 2: Convert to fraction form
    27,519/37,159.50 = 37,159.50/x
  3. Step 3: Cross multiply
    27,519x = 37,159.50 × 37,159.50
  4. Step 4: Simplify right side
    27,519x = 1,380,828,440.25
  5. Step 5: Solve for x
    x = 1,380,828,440.25/27,519
  6. Step 6: Final answer
    x = 50,177.28

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.