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Finding the Third Proportional to 37,566 and 56,232

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Solution

The third proportional to 37,566 and 56,232 is: 84,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,566 : 56,232 = 56,232 : x
  2. Step 2: Convert to fraction form
    37,566/56,232 = 56,232/x
  3. Step 3: Cross multiply
    37,566x = 56,232 × 56,232
  4. Step 4: Simplify right side
    37,566x = 3,162,037,824
  5. Step 5: Solve for x
    x = 3,162,037,824/37,566
  6. Step 6: Final answer
    x = 84,172.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.