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Finding the Third Proportional to 16,416 and 38,538

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Solution

The third proportional to 16,416 and 38,538 is: 90,471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416 : 38,538 = 38,538 : x
  2. Step 2: Convert to fraction form
    16,416/38,538 = 38,538/x
  3. Step 3: Cross multiply
    16,416x = 38,538 × 38,538
  4. Step 4: Simplify right side
    16,416x = 1,485,177,444
  5. Step 5: Solve for x
    x = 1,485,177,444/16,416
  6. Step 6: Final answer
    x = 90,471.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.