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Finding the Third Proportional to 15,751 and 21,016.50

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Solution

The third proportional to 15,751 and 21,016.50 is: 28,042.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,751 : 21,016.50 = 21,016.50 : x
  2. Step 2: Convert to fraction form
    15,751/21,016.50 = 21,016.50/x
  3. Step 3: Cross multiply
    15,751x = 21,016.50 × 21,016.50
  4. Step 4: Simplify right side
    15,751x = 441,693,272.25
  5. Step 5: Solve for x
    x = 441,693,272.25/15,751
  6. Step 6: Final answer
    x = 28,042.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.