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Finding the Third Proportional to 37,232 and 55,200

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Solution

The third proportional to 37,232 and 55,200 is: 81,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,232 : 55,200 = 55,200 : x
  2. Step 2: Convert to fraction form
    37,232/55,200 = 55,200/x
  3. Step 3: Cross multiply
    37,232x = 55,200 × 55,200
  4. Step 4: Simplify right side
    37,232x = 3,047,040,000
  5. Step 5: Solve for x
    x = 3,047,040,000/37,232
  6. Step 6: Final answer
    x = 81,839.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.