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Finding the Third Proportional to 16,121.63 and 21,501.38

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Solution

The third proportional to 16,121.63 and 21,501.38 is: 28,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.63 : 21,501.38 = 21,501.38 : x
  2. Step 2: Convert to fraction form
    16,121.63/21,501.38 = 21,501.38/x
  3. Step 3: Cross multiply
    16,121.63x = 21,501.38 × 21,501.38
  4. Step 4: Simplify right side
    16,121.63x = 462,309,126.89
  5. Step 5: Solve for x
    x = 462,309,126.89/16,121.63
  6. Step 6: Final answer
    x = 28,676.34

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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.