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Finding the Third Proportional to 37,728 and 81,432

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Solution

The third proportional to 37,728 and 81,432 is: 175,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,728 : 81,432 = 81,432 : x
  2. Step 2: Convert to fraction form
    37,728/81,432 = 81,432/x
  3. Step 3: Cross multiply
    37,728x = 81,432 × 81,432
  4. Step 4: Simplify right side
    37,728x = 6,631,170,624
  5. Step 5: Solve for x
    x = 6,631,170,624/37,728
  6. Step 6: Final answer
    x = 175,762.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.