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Finding the Third Proportional to 16,970 and 25,419

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Solution

The third proportional to 16,970 and 25,419 is: 38,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970 : 25,419 = 25,419 : x
  2. Step 2: Convert to fraction form
    16,970/25,419 = 25,419/x
  3. Step 3: Cross multiply
    16,970x = 25,419 × 25,419
  4. Step 4: Simplify right side
    16,970x = 646,125,561
  5. Step 5: Solve for x
    x = 646,125,561/16,970
  6. Step 6: Final answer
    x = 38,074.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.