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Finding the Third Proportional to 37,395 and 57,477

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Solution

The third proportional to 37,395 and 57,477 is: 88,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,395 : 57,477 = 57,477 : x
  2. Step 2: Convert to fraction form
    37,395/57,477 = 57,477/x
  3. Step 3: Cross multiply
    37,395x = 57,477 × 57,477
  4. Step 4: Simplify right side
    37,395x = 3,303,605,529
  5. Step 5: Solve for x
    x = 3,303,605,529/37,395
  6. Step 6: Final answer
    x = 88,343.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.