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Finding the Third Proportional to 57,483 and 77,247

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Solution

The third proportional to 57,483 and 77,247 is: 103,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,483 : 77,247 = 77,247 : x
  2. Step 2: Convert to fraction form
    57,483/77,247 = 77,247/x
  3. Step 3: Cross multiply
    57,483x = 77,247 × 77,247
  4. Step 4: Simplify right side
    57,483x = 5,967,099,009
  5. Step 5: Solve for x
    x = 5,967,099,009/57,483
  6. Step 6: Final answer
    x = 103,806.33

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.