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Finding the Third Proportional to 19,124 and 29,538

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Solution

The third proportional to 19,124 and 29,538 is: 45,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,124 : 29,538 = 29,538 : x
  2. Step 2: Convert to fraction form
    19,124/29,538 = 29,538/x
  3. Step 3: Cross multiply
    19,124x = 29,538 × 29,538
  4. Step 4: Simplify right side
    19,124x = 872,493,444
  5. Step 5: Solve for x
    x = 872,493,444/19,124
  6. Step 6: Final answer
    x = 45,622.96

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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.