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Finding the Third Proportional to 38,254 and 58,483

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Solution

The third proportional to 38,254 and 58,483 is: 89,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254 : 58,483 = 58,483 : x
  2. Step 2: Convert to fraction form
    38,254/58,483 = 58,483/x
  3. Step 3: Cross multiply
    38,254x = 58,483 × 58,483
  4. Step 4: Simplify right side
    38,254x = 3,420,261,289
  5. Step 5: Solve for x
    x = 3,420,261,289/38,254
  6. Step 6: Final answer
    x = 89,409.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.