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Finding the Third Proportional to 17,536 and 37,560.50

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Solution

The third proportional to 17,536 and 37,560.50 is: 80,451.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536 : 37,560.50 = 37,560.50 : x
  2. Step 2: Convert to fraction form
    17,536/37,560.50 = 37,560.50/x
  3. Step 3: Cross multiply
    17,536x = 37,560.50 × 37,560.50
  4. Step 4: Simplify right side
    17,536x = 1,410,791,160.25
  5. Step 5: Solve for x
    x = 1,410,791,160.25/17,536
  6. Step 6: Final answer
    x = 80,451.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.