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Finding the Third Proportional to 37 and 87.63

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Solution

The third proportional to 37 and 87.63 is: 207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37 : 87.63 = 87.63 : x
  2. Step 2: Convert to fraction form
    37/87.63 = 87.63/x
  3. Step 3: Cross multiply
    37x = 87.63 × 87.63
  4. Step 4: Simplify right side
    37x = 7,678.14
  5. Step 5: Solve for x
    x = 7,678.14/37
  6. Step 6: Final answer
    x = 207.52

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.