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Finding the Third Proportional to 20,029.50 and 31,419

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Solution

The third proportional to 20,029.50 and 31,419 is: 49,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.50 : 31,419 = 31,419 : x
  2. Step 2: Convert to fraction form
    20,029.50/31,419 = 31,419/x
  3. Step 3: Cross multiply
    20,029.50x = 31,419 × 31,419
  4. Step 4: Simplify right side
    20,029.50x = 987,153,561
  5. Step 5: Solve for x
    x = 987,153,561/20,029.50
  6. Step 6: Final answer
    x = 49,284.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.