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Finding the Third Proportional to 16,584.75 and 21,285.28

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Solution

The third proportional to 16,584.75 and 21,285.28 is: 27,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.75 : 21,285.28 = 21,285.28 : x
  2. Step 2: Convert to fraction form
    16,584.75/21,285.28 = 21,285.28/x
  3. Step 3: Cross multiply
    16,584.75x = 21,285.28 × 21,285.28
  4. Step 4: Simplify right side
    16,584.75x = 453,063,197.89
  5. Step 5: Solve for x
    x = 453,063,197.89/16,584.75
  6. Step 6: Final answer
    x = 27,318.06

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.