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Finding the Third Proportional to 38,885 and 57,507

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Solution

The third proportional to 38,885 and 57,507 is: 85,047.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,885 : 57,507 = 57,507 : x
  2. Step 2: Convert to fraction form
    38,885/57,507 = 57,507/x
  3. Step 3: Cross multiply
    38,885x = 57,507 × 57,507
  4. Step 4: Simplify right side
    38,885x = 3,307,055,049
  5. Step 5: Solve for x
    x = 3,307,055,049/38,885
  6. Step 6: Final answer
    x = 85,047.06

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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.