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Finding the Third Proportional to 16,720.88 and 25,974

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Solution

The third proportional to 16,720.88 and 25,974 is: 40,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,720.88 : 25,974 = 25,974 : x
  2. Step 2: Convert to fraction form
    16,720.88/25,974 = 25,974/x
  3. Step 3: Cross multiply
    16,720.88x = 25,974 × 25,974
  4. Step 4: Simplify right side
    16,720.88x = 674,648,676
  5. Step 5: Solve for x
    x = 674,648,676/16,720.88
  6. Step 6: Final answer
    x = 40,347.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.