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Finding the Third Proportional to 14,621.75 and 20,910

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Solution

The third proportional to 14,621.75 and 20,910 is: 29,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,621.75 : 20,910 = 20,910 : x
  2. Step 2: Convert to fraction form
    14,621.75/20,910 = 20,910/x
  3. Step 3: Cross multiply
    14,621.75x = 20,910 × 20,910
  4. Step 4: Simplify right side
    14,621.75x = 437,228,100
  5. Step 5: Solve for x
    x = 437,228,100/14,621.75
  6. Step 6: Final answer
    x = 29,902.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.